100100110101072 has 40 divisors (see below), whose sum is σ = 266933626940160. Its totient is φ = 32290358096640.

The previous prime is 100100110101071. The next prime is 100100110101077. The reversal of 100100110101072 is 270101011001001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100110101071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33635788197 + ... + 33635791172.

It is an arithmetic number, because the mean of its divisors is an integer number (6673340673504).

Almost surely, 2^{100100110101072} is an apocalyptic number.

100100110101072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100100110101072 is an abundant number, since it is smaller than the sum of its proper divisors (166833516839088).

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

100100110101072 is a wasteful number, since it uses less digits than its factorization.

100100110101072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67271579411 (or 67271579405 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 15.

Adding to 100100110101072 its reverse (270101011001001), we get a palindrome (370201121102073).

The spelling of 100100110101072 in words is "one hundred trillion, one hundred billion, one hundred ten million, one hundred one thousand, seventy-two".