100100110101012 has 144 divisors (see below), whose sum is σ = 306697796251392. Its totient is φ = 26908083671040.

The previous prime is 100100110100981. The next prime is 100100110101023. The reversal of 100100110101012 is 210101011001001.

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 = 100100110100985 and 100100110101003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141208333 + ... + 141915444.

Almost surely, 2^{100100110101012} is an apocalyptic number.

100100110101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100100110101012 is an abundant number, since it is smaller than the sum of its proper divisors (206597686150380).

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

100100110101012 is a wasteful number, since it uses less digits than its factorization.

100100110101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283123878 (or 283123873 counting only the distinct ones).

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

Adding to 100100110101012 its reverse (210101011001001), we get a palindrome (310201121102013).

The spelling of 100100110101012 in words is "one hundred trillion, one hundred billion, one hundred ten million, one hundred one thousand, twelve".