100110101100012 has 18 divisors (see below), whose sum is σ = 253056088891788. Its totient is φ = 33370033699992.

The previous prime is 100110101099989. The next prime is 100110101100017. The reversal of 100110101100012 is 210001101011001.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×100110101100012³ (a number of 43 digits) contains 333 as substring.

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 = 100110101099967 and 100110101100003.

It is not an unprimeable number, because it can be changed into a prime (100110101100017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1390418070798 + ... + 1390418070869.

Almost surely, 2^{100110101100012} is an apocalyptic number.

100110101100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100110101100012 is an abundant number, since it is smaller than the sum of its proper divisors (152945987791776).

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

100110101100012 is a wasteful number, since it uses less digits than its factorization.

100110101100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780836141677 (or 2780836141672 counting only the distinct ones).

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

Adding to 100110101100012 its reverse (210001101011001), we get a palindrome (310111202111013).

The spelling of 100110101100012 in words is "one hundred trillion, one hundred ten billion, one hundred one million, one hundred thousand, twelve".