210100010120 has 384 divisors, whose sum is σ = 645984702720. Its totient is φ = 59837184000.

The previous prime is 210100010053. The next prime is 210100010147. The reversal of 210100010120 is 21010001012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 210100010098 and 210100010107.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44482079 + ... + 44486801.

It is an arithmetic number, because the mean of its divisors is an integer number (1682251830).

Almost surely, 2^210100010120 is an apocalyptic number.

210100010120 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 210100010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322992351360).

210100010120 is an abundant number, since it is smaller than the sum of its proper divisors (435884692600).

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

210100010120 is a wasteful number, since it uses less digits than its factorization.

210100010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4877 (or 4862 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 210100010120 its reverse (21010001012), we get a palindrome (231110011132).

The spelling of 210100010120 in words is "two hundred ten billion, one hundred million, ten thousand, one hundred twenty".