100111402152 has 24 divisors (see below), whose sum is σ = 271135047690. Its totient is φ = 33370467360.

The previous prime is 100111402117. The next prime is 100111402177. The reversal of 100111402152 is 251204111001.

100111402152 is a `hidden beast` number, since 1 + 0 + 0 + 111 + 402 + 152 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84579762276 + 15531639876 = 290826^2 + 124626^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×100111402152² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 695217999 + ... + 695218142.

Almost surely, 2^100111402152 is an apocalyptic number.

100111402152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100111402152 is an abundant number, since it is smaller than the sum of its proper divisors (171023645538).

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

100111402152 is a wasteful number, since it uses less digits than its factorization.

100111402152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390436153 (or 1390436146 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 100111402152 its reverse (251204111001), we get a palindrome (351315513153).

The spelling of 100111402152 in words is "one hundred billion, one hundred eleven million, four hundred two thousand, one hundred fifty-two".