101121220202112 has 320 divisors, whose sum is σ = 328446129432960. Its totient is φ = 30628487024640.

The previous prime is 101121220202027. The next prime is 101121220202141. The reversal of 101121220202112 is 211202022121101.

101121220202112 is a `hidden beast` number, since 10 + 1 + 121 + 220 + 202 + 112 = 666.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 245339433 + ... + 245751255.

It is an arithmetic number, because the mean of its divisors is an integer number (1026394154478).

Almost surely, 2^{101121220202112} is an apocalyptic number.

101121220202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101121220202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164223064716480).

101121220202112 is an abundant number, since it is smaller than the sum of its proper divisors (227324909230848).

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

101121220202112 is a wasteful number, since it uses less digits than its factorization.

101121220202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414013 (or 413992 counting only the distinct ones).

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

Adding to 101121220202112 its reverse (211202022121101), we get a palindrome (312323242323213).

The spelling of 101121220202112 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twenty million, two hundred two thousand, one hundred twelve".