101121010211220 has 48 divisors (see below), whose sum is σ = 285368268208128. Its totient is φ = 26753275140480.

The previous prime is 101121010211191. The next prime is 101121010211357. The reversal of 101121010211220 is 22112010121101.

It is a happy number.

It is a super-2 number, since 2×101121010211220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101121010211220.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6635229271 + ... + 6635244510.

It is an arithmetic number, because the mean of its divisors is an integer number (5945172254336).

Almost surely, 2^{101121010211220} is an apocalyptic number.

101121010211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121010211220 is an abundant number, since it is smaller than the sum of its proper divisors (184247257996908).

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

101121010211220 is a wasteful number, since it uses less digits than its factorization.

101121010211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13270473920 (or 13270473918 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101121010211220 its reverse (22112010121101), we get a palindrome (123233020332321).

The spelling of 101121010211220 in words is "one hundred one trillion, one hundred twenty-one billion, ten million, two hundred eleven thousand, two hundred twenty".