2110102102020 has 384 divisors, whose sum is σ = 6918552797184. Its totient is φ = 474854400000.

The previous prime is 2110102101929. The next prime is 2110102102027. The reversal of 2110102102020 is 202012010112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2110102101987 and 2110102102005.

It is not an unprimeable number, because it can be changed into a prime (2110102102027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 307099185 + ... + 307106055.

It is an arithmetic number, because the mean of its divisors is an integer number (18017064576).

Almost surely, 2^{2110102102020} is an apocalyptic number.

2110102102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110102102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459276398592).

2110102102020 is an abundant number, since it is smaller than the sum of its proper divisors (4808450695164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2110102102020 is a wasteful number, since it uses less digits than its factorization.

2110102102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7283 (or 7281 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2110102102020 its reverse (202012010112), we get a palindrome (2312114112132).

It can be divided in two parts, 2110102 and 102020, that added together give a palindrome (2212122).

The spelling of 2110102102020 in words is "two trillion, one hundred ten billion, one hundred two million, one hundred two thousand, twenty".