101122202202120 has 96 divisors (see below), whose sum is σ = 358524171457920. Its totient is φ = 24514473260160.

The previous prime is 101122202202031. The next prime is 101122202202137. The reversal of 101122202202120 is 21202202221101.

It is a happy number.

101122202202120 is a `hidden beast` number, since 1 + 0 + 1 + 12 + 220 + 220 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101122202202093 and 101122202202102.

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, 12767950864 + ... + 12767958783.

It is an arithmetic number, because the mean of its divisors is an integer number (3734626786020).

Almost surely, 2^{101122202202120} is an apocalyptic number.

101122202202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122202202120 is an abundant number, since it is smaller than the sum of its proper divisors (257401969255800).

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

101122202202120 is a wasteful number, since it uses less digits than its factorization.

101122202202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25535909675 (or 25535909668 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101122202202120 its reverse (21202202221101), we get a palindrome (122324404423221).

It can be divided in two parts, 101 and 122202202120, that added together give a palindrome (122202202221).

The spelling of 101122202202120 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred two million, two hundred two thousand, one hundred twenty".