10101102120 has 96 divisors (see below), whose sum is σ = 33715885320. Its totient is φ = 2620823040.

The previous prime is 10101102101. The next prime is 10101102131. The reversal of 10101102120 is 2120110101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7209028836 + 2892073284 = 84906^2 + 53778^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365851 + ... + 392490.

Almost surely, 2^10101102120 is an apocalyptic number.

10101102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101102120 is an abundant number, since it is smaller than the sum of its proper divisors (23614783200).

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

10101102120 is a wasteful number, since it uses less digits than its factorization.

10101102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758395 (or 758388 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10101102120 its reverse (2120110101), we get a palindrome (12221212221).

The spelling of 10101102120 in words is "ten billion, one hundred one million, one hundred two thousand, one hundred twenty".