101002210120 has 64 divisors (see below), whose sum is σ = 271012158720. Its totient is φ = 33123704064.

The previous prime is 101002210037. The next prime is 101002210151. The reversal of 101002210120 is 21012200101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101002210097 and 101002210106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7835347 + ... + 7848226.

It is an arithmetic number, because the mean of its divisors is an integer number (4234564980).

Almost surely, 2^101002210120 is an apocalyptic number.

101002210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002210120 is an abundant number, since it is smaller than the sum of its proper divisors (170009948600).

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

101002210120 is a wasteful number, since it uses less digits than its factorization.

101002210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15683614 (or 15683610 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101002210120 its reverse (21012200101), we get a palindrome (122014410221).

The spelling of 101002210120 in words is "one hundred one billion, two million, two hundred ten thousand, one hundred twenty".