100110110101000 has 32 divisors (see below), whose sum is σ = 234257657638680. Its totient is φ = 40044044040000.

The previous prime is 100110110100967. The next prime is 100110110101033. The reversal of 100110110101000 is 101011011001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100110110100967) and next prime (100110110101033).

It can be written as a sum of positive squares in 4 ways, for example, as 33792898943556 + 66317211157444 = 5813166^2 + 8143538^2 .

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, 50055054051 + ... + 50055056050.

Almost surely, 2^{100110110101000} is an apocalyptic number.

100110110101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110110101000 is an abundant number, since it is smaller than the sum of its proper divisors (134147547537680).

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

100110110101000 is a wasteful number, since it uses less digits than its factorization.

100110110101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100110110122 (or 100110110108 counting only the distinct ones).

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

Adding to 100110110101000 its reverse (101011011001), we get a palindrome (100211121112001).

The spelling of 100110110101000 in words is "one hundred trillion, one hundred ten billion, one hundred ten million, one hundred one thousand".