101121010211221 has 32 divisors (see below), whose sum is σ = 135789025671936. Its totient is φ = 72724665024000.

The previous prime is 101121010211191. The next prime is 101121010211357. The reversal of 101121010211221 is 122112010121101.

It is not a de Polignac number, because 101121010211221 - 2⁵ = 101121010211189 is a prime.

It is a super-2 number, since 2×101121010211221² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101121010211195 and 101121010211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121010217221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 736711 + ... + 14240251.

It is an arithmetic number, because the mean of its divisors is an integer number (4243407052248).

Almost surely, 2^{101121010211221} is an apocalyptic number.

101121010211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101121010211221 is a deficient number, since it is larger than the sum of its proper divisors (34668015460715).

101121010211221 is a wasteful number, since it uses less digits than its factorization.

101121010211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13511053.

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

Adding to 101121010211221 its reverse (122112010121101), we get a palindrome (223233020332322).

The spelling of 101121010211221 in words is "one hundred one trillion, one hundred twenty-one billion, ten million, two hundred eleven thousand, two hundred twenty-one".