100111112211110 has 256 divisors, whose sum is σ = 243038444544000. Its totient is φ = 28673326080000.

The previous prime is 100111112211109. The next prime is 100111112211197. The reversal of 100111112211110 is 11112211111001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11122216610 + ... + 11122225610.

It is an arithmetic number, because the mean of its divisors is an integer number (949368924000).

Almost surely, 2^{100111112211110} is an apocalyptic number.

100111112211110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100111112211110 is an abundant number, since it is smaller than the sum of its proper divisors (142927332332890).

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

100111112211110 is a wasteful number, since it uses less digits than its factorization.

100111112211110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13927.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 100111112211110 its reverse (11112211111001), we get a palindrome (111223323322111).

It can be divided in two parts, 10011111 and 2211110, that added together give a palindrome (12222221).

The spelling of 100111112211110 in words is "one hundred trillion, one hundred eleven billion, one hundred twelve million, two hundred eleven thousand, one hundred ten".