100112000101000 has 32 divisors (see below), whose sum is σ = 234262080238680. Its totient is φ = 40044800040000.

The previous prime is 100112000100887. The next prime is 100112000101031. The reversal of 100112000101000 is 101000211001.

It can be written as a sum of positive squares in 4 ways, for example, as 66361454232516 + 33750545868484 = 8146254^2 + 5809522^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50055999051 + ... + 50056001050.

Almost surely, 2^{100112000101000} is an apocalyptic number.

100112000101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112000101000 is an abundant number, since it is smaller than the sum of its proper divisors (134150080137680).

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

100112000101000 is a wasteful number, since it uses less digits than its factorization.

100112000101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100112000122 (or 100112000108 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100112000101000 its reverse (101000211001), we get a palindrome (100213000312001).

The spelling of 100112000101000 in words is "one hundred trillion, one hundred twelve billion, one hundred one thousand".