101202121122100 has 72 divisors (see below), whose sum is σ = 229416328290240. Its totient is φ = 38676959354880.

The previous prime is 101202121122079. The next prime is 101202121122107. The reversal of 101202121122100 is 1221121202101.

It is a super-2 number, since 2×101202121122100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202121122107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22884685 + ... + 26946484.

It is an arithmetic number, because the mean of its divisors is an integer number (3186337892920).

Almost surely, 2^{101202121122100} is an apocalyptic number.

101202121122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202121122100 is an abundant number, since it is smaller than the sum of its proper divisors (128214207168140).

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

101202121122100 is a wasteful number, since it uses less digits than its factorization.

101202121122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49832089 (or 49832082 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101202121122100 its reverse (1221121202101), we get a palindrome (102423242324201).

The spelling of 101202121122100 in words is "one hundred one trillion, two hundred two billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred".