101212120021122 has 48 divisors (see below), whose sum is σ = 241916609694240. Its totient is φ = 30325728840000.

The previous prime is 101212120021063. The next prime is 101212120021141. The reversal of 101212120021122 is 221120021212101.

101212120021122 is a `hidden beast` number, since 101 + 212 + 120 + 0 + 211 + 22 = 666.

It is a super-2 number, since 2×101212120021122² (a number of 29 digits) contains 22 as substring.

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 = 101212120021095 and 101212120021104.

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, 2871737004 + ... + 2871772247.

It is an arithmetic number, because the mean of its divisors is an integer number (5039929368630).

Almost surely, 2^{101212120021122} is an apocalyptic number.

101212120021122 is an abundant number, since it is smaller than the sum of its proper divisors (140704489673118).

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

101212120021122 is a wasteful number, since it uses less digits than its factorization.

101212120021122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5743509359 (or 5743509356 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101212120021122 its reverse (221120021212101), we get a palindrome (322332141233223).

The spelling of 101212120021122 in words is "one hundred one trillion, two hundred twelve billion, one hundred twenty million, twenty-one thousand, one hundred twenty-two".