101100102112119 has 32 divisors (see below), whose sum is σ = 154800975202560. Its totient is φ = 58045445337600.

The previous prime is 101100102112117. The next prime is 101100102112129. The reversal of 101100102112119 is 911211201001101.

It is a happy number.

It is not a de Polignac number, because 101100102112119 - 2¹ = 101100102112117 is a prime.

It is a super-2 number, since 2×101100102112119² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101100102112095 and 101100102112104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100102112117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11440399 + ... + 18250559.

It is an arithmetic number, because the mean of its divisors is an integer number (4837530475080).

Almost surely, 2^{101100102112119} is an apocalyptic number.

101100102112119 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

101100102112119 is a deficient number, since it is larger than the sum of its proper divisors (53700873090441).

101100102112119 is a wasteful number, since it uses less digits than its factorization.

101100102112119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6833871.

The product of its (nonzero) digits is 36, while the sum is 21.

The spelling of 101100102112119 in words is "one hundred one trillion, one hundred billion, one hundred two million, one hundred twelve thousand, one hundred nineteen".