101100112122210 has 64 divisors (see below), whose sum is σ = 246347831174400. Its totient is φ = 26549230878720.

The previous prime is 101100112122187. The next prime is 101100112122221. The reversal of 101100112122210 is 12221211001101.

It is a happy number.

It is a super-3 number, since 3×101100112122210³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 101100112122210.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34605910 + ... + 37413489.

It is an arithmetic number, because the mean of its divisors is an integer number (3849184862100).

Almost surely, 2^{101100112122210} is an apocalyptic number.

101100112122210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101100112122210 is an abundant number, since it is smaller than the sum of its proper divisors (145247719052190).

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

101100112122210 is a wasteful number, since it uses less digits than its factorization.

101100112122210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72020123.

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

Adding to 101100112122210 its reverse (12221211001101), we get a palindrome (113321323123311).

The spelling of 101100112122210 in words is "one hundred one trillion, one hundred billion, one hundred twelve million, one hundred twenty-two thousand, two hundred ten".