100111101001000 has 32 divisors (see below), whose sum is σ = 234259976344680. Its totient is φ = 40044440400000.

The previous prime is 100111101000971. The next prime is 100111101001019. The reversal of 100111101001000 is 100101111001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 54954555701956 + 45156545299044 = 7413134^2 + 6719862^2 .

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, 50055549501 + ... + 50055551500.

Almost surely, 2^{100111101001000} is an apocalyptic number.

100111101001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111101001000 is an abundant number, since it is smaller than the sum of its proper divisors (134148875343680).

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

100111101001000 is a wasteful number, since it uses less digits than its factorization.

100111101001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100111101022 (or 100111101008 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100111101001000 its reverse (100101111001), we get a palindrome (100211202112001).

The spelling of 100111101001000 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one thousand".