101012202120 has 64 divisors (see below), whose sum is σ = 303505211520. Its totient is φ = 26894933504.

The previous prime is 101012202119. The next prime is 101012202133. The reversal of 101012202120 is 21202210101.

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 = 101012202096 and 101012202105.

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, 572877 + ... + 728156.

It is an arithmetic number, because the mean of its divisors is an integer number (4742268930).

Almost surely, 2^101012202120 is an apocalyptic number.

101012202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012202120 is an abundant number, since it is smaller than the sum of its proper divisors (202493009400).

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

101012202120 is a wasteful number, since it uses less digits than its factorization.

101012202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301694 (or 1301690 counting only the distinct ones).

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

Adding to 101012202120 its reverse (21202210101), we get a palindrome (122214412221).

The spelling of 101012202120 in words is "one hundred one billion, twelve million, two hundred two thousand, one hundred twenty".