100111101122110 has 64 divisors (see below), whose sum is σ = 203024402429184. Its totient is φ = 35295247411200.

The previous prime is 100111101122107. The next prime is 100111101122119. The reversal of 100111101122110 is 11221101111001.

It is a super-2 number, since 2×100111101122110² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111101122119) 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, 199564071 + ... + 200065090.

It is an arithmetic number, because the mean of its divisors is an integer number (3172256287956).

Almost surely, 2^{100111101122110} is an apocalyptic number.

100111101122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100111101122110 is an abundant number, since it is smaller than the sum of its proper divisors (102913301307074).

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

100111101122110 is a wasteful number, since it uses less digits than its factorization.

100111101122110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399629269.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 100111101122110 its reverse (11221101111001), we get a palindrome (111332202233111).

The spelling of 100111101122110 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one hundred twenty-two thousand, one hundred ten".