101202001202120 has 96 divisors (see below), whose sum is σ = 281791540249920. Its totient is φ = 32028765200640.

The previous prime is 101202001202089. The next prime is 101202001202173. The reversal of 101202001202120 is 21202100202101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101202001202095 and 101202001202104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1069289126 + ... + 1069383765.

It is an arithmetic number, because the mean of its divisors is an integer number (2935328544270).

Almost surely, 2^{101202001202120} is an apocalyptic number.

101202001202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202001202120 is an abundant number, since it is smaller than the sum of its proper divisors (180589539047800).

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

101202001202120 is a wasteful number, since it uses less digits than its factorization.

101202001202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138672935 (or 2138672918 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101202001202120 its reverse (21202100202101), we get a palindrome (122404101404221).

The spelling of 101202001202120 in words is "one hundred one trillion, two hundred two billion, one million, two hundred two thousand, one hundred twenty".