101202022122012 has 192 divisors, whose sum is σ = 318433113062400. Its totient is φ = 27150611927040.

The previous prime is 101202022122007. The next prime is 101202022122043. The reversal of 101202022122012 is 210221220202101.

It is a happy number.

101202022122012 is a `hidden beast` number, since 10 + 1 + 202 + 0 + 221 + 220 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29551789 + ... + 32798052.

It is an arithmetic number, because the mean of its divisors is an integer number (1658505797200).

Almost surely, 2^{101202022122012} is an apocalyptic number.

101202022122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101202022122012 is an abundant number, since it is smaller than the sum of its proper divisors (217231090940388).

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

101202022122012 is a wasteful number, since it uses less digits than its factorization.

101202022122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62349993 (or 62349985 counting only the distinct ones).

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

Adding to 101202022122012 its reverse (210221220202101), we get a palindrome (311423242324113).

The spelling of 101202022122012 in words is "one hundred one trillion, two hundred two billion, twenty-two million, one hundred twenty-two thousand, twelve".