101122011012219 has 32 divisors (see below), whose sum is σ = 135418374374400. Its totient is φ = 67120503219840.

The previous prime is 101122011012107. The next prime is 101122011012251. The reversal of 101122011012219 is 912210110221101.

It is not a de Polignac number, because 101122011012219 - 2¹⁷ = 101122010881147 is a prime.

It is a super-2 number, since 2×101122011012219² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101122011019219) 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, 14890588714 + ... + 14890595504.

It is an arithmetic number, because the mean of its divisors is an integer number (4231824199200).

Almost surely, 2^{101122011012219} is an apocalyptic number.

101122011012219 is a deficient number, since it is larger than the sum of its proper divisors (34296363362181).

101122011012219 is a wasteful number, since it uses less digits than its factorization.

101122011012219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16315.

The product of its (nonzero) digits is 144, while the sum is 24.

The spelling of 101122011012219 in words is "one hundred one trillion, one hundred twenty-two billion, eleven million, twelve thousand, two hundred nineteen".