101211012211120 has 80 divisors (see below), whose sum is σ = 268990322856768. Its totient is φ = 34693408189440.

The previous prime is 101211012211109. The next prime is 101211012211139. The reversal of 101211012211120 is 21112210112101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 101211012211094 and 101211012211103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16967959 + ... + 22143478.

Almost surely, 2^{101211012211120} is an apocalyptic number.

101211012211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211012211120 is an abundant number, since it is smaller than the sum of its proper divisors (167779310645648).

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

101211012211120 is a wasteful number, since it uses less digits than its factorization.

101211012211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39116078 (or 39116072 counting only the distinct ones).

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

Adding to 101211012211120 its reverse (21112210112101), we get a palindrome (122323222323221).

The spelling of 101211012211120 in words is "one hundred one trillion, two hundred eleven billion, twelve million, two hundred eleven thousand, one hundred twenty".