10010111201100 has 72 divisors (see below), whose sum is σ = 32180653795920. Its totient is φ = 2669362986240.

The previous prime is 10010111201089. The next prime is 10010111201161. The reversal of 10010111201100 is 110211101001.

10010111201100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1853721597 + ... + 1853726996.

Almost surely, 2^{10010111201100} is an apocalyptic number.

10010111201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010111201100 is an abundant number, since it is smaller than the sum of its proper divisors (22170542594820).

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

10010111201100 is a wasteful number, since it uses less digits than its factorization.

10010111201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707448616 (or 3707448603 counting only the distinct ones).

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

Adding to 10010111201100 its reverse (110211101001), we get a palindrome (10120322302101).

The spelling of 10010111201100 in words is "ten trillion, ten billion, one hundred eleven million, two hundred one thousand, one hundred".