100111211011110 has 128 divisors (see below), whose sum is σ = 259063080192000. Its totient is φ = 24612856031232.

The previous prime is 100111211011099. The next prime is 100111211011127. The reversal of 100111211011110 is 11110112111001.

100111211011110 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100111211011110² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1935649831 + ... + 1935701549.

It is an arithmetic number, because the mean of its divisors is an integer number (2023930314000).

Almost surely, 2^{100111211011110} is an apocalyptic number.

100111211011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111211011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129531540096000).

100111211011110 is an abundant number, since it is smaller than the sum of its proper divisors (158951869180890).

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

100111211011110 is a wasteful number, since it uses less digits than its factorization.

100111211011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57670.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 100111211011110 its reverse (11110112111001), we get a palindrome (111221323122111).

The spelling of 100111211011110 in words is "one hundred trillion, one hundred eleven billion, two hundred eleven million, eleven thousand, one hundred ten".