2101010020000 has 120 divisors (see below), whose sum is σ = 5205992299200. Its totient is φ = 834356832000.

The previous prime is 2101010019971. The next prime is 2101010020007. The reversal of 2101010020000 is 200101012.

It is not an unprimeable number, because it can be changed into a prime (2101010020007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2402121 + ... + 3157879.

It is an arithmetic number, because the mean of its divisors is an integer number (43383269160).

Almost surely, 2^{2101010020000} is an apocalyptic number.

2101010020000 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 2101010020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602996149600).

2101010020000 is an abundant number, since it is smaller than the sum of its proper divisors (3104982279200).

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

2101010020000 is an equidigital number, since it uses as much as digits as its factorization.

2101010020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755928 (or 755905 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2101010020000 its reverse (200101012), we get a palindrome (2101210121012).

The spelling of 2101010020000 in words is "two trillion, one hundred one billion, ten million, twenty thousand".