100111202000000 has 112 divisors (see below), whose sum is σ = 249297170478810. Its totient is φ = 40044480000000.

The previous prime is 100111201999999. The next prime is 100111202000057. The reversal of 100111202000000 is 202111001.

It can be written as a sum of positive squares in 7 ways, for example, as 21254386621504 + 78856815378496 = 4610248^2 + 8880136^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23027801 + ... + 27027800.

Almost surely, 2^{100111202000000} is an apocalyptic number.

100111202000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111202000000 is an abundant number, since it is smaller than the sum of its proper divisors (149185968478810).

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

100111202000000 is an frugal number, since it uses more digits than its factorization.

100111202000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50055645 (or 50055608 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100111202000000 its reverse (202111001), we get a palindrome (100111404111001).

The spelling of 100111202000000 in words is "one hundred trillion, one hundred eleven billion, two hundred two million", and thus it is an aban number.