100101110010012 has 36 divisors (see below), whose sum is σ = 259872100915336. Its totient is φ = 32465224867680.

The previous prime is 100101110010007. The next prime is 100101110010061. The reversal of 100101110010012 is 210010011101001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100101110009976 and 100101110010003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37575490414 + ... + 37575493077.

Almost surely, 2^{100101110010012} is an apocalyptic number.

100101110010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100101110010012 is an abundant number, since it is smaller than the sum of its proper divisors (159770990905324).

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

100101110010012 is a wasteful number, since it uses less digits than its factorization.

100101110010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75150983538 (or 75150983533 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100101110010012 its reverse (210010011101001), we get a palindrome (310111121111013).

The spelling of 100101110010012 in words is "one hundred trillion, one hundred one billion, one hundred ten million, ten thousand, twelve".