100111444333100 has 36 divisors (see below), whose sum is σ = 224249635313088. Its totient is φ = 38752817160000.

The previous prime is 100111444333067. The next prime is 100111444333157. The reversal of 100111444333100 is 1333444111001.

It is a super-2 number, since 2×100111444333100² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100111444333100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16147004051 + ... + 16147010250.

Almost surely, 2^{100111444333100} is an apocalyptic number.

100111444333100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111444333100 is an abundant number, since it is smaller than the sum of its proper divisors (124138190979988).

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

100111444333100 is a wasteful number, since it uses less digits than its factorization.

100111444333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32294014346 (or 32294014339 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 100111444333100 its reverse (1333444111001), we get a palindrome (101444888444101).

The spelling of 100111444333100 in words is "one hundred trillion, one hundred eleven billion, four hundred forty-four million, three hundred thirty-three thousand, one hundred".