101121211210112 has 32 divisors (see below), whose sum is σ = 201536387064000. Its totient is φ = 50539529751040.

The previous prime is 101121211210049. The next prime is 101121211210127. The reversal of 101121211210112 is 211012112121101.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×101121211210112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 164346839 + ... + 164960982.

It is an arithmetic number, because the mean of its divisors is an integer number (6298012095750).

Almost surely, 2^{101121211210112} is an apocalyptic number.

It is an amenable number.

101121211210112 is a deficient number, since it is larger than the sum of its proper divisors (100415175853888).

101121211210112 is an equidigital number, since it uses as much as digits as its factorization.

101121211210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329310234 (or 329310222 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 101121211210112 its reverse (211012112121101), we get a palindrome (312133323331213).

The spelling of 101121211210112 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred eleven million, two hundred ten thousand, one hundred twelve".