21100222101120 has 128 divisors (see below), whose sum is σ = 71213249701440. Its totient is φ = 5295742009344.

The previous prime is 21100222101107. The next prime is 21100222101131. The reversal of 21100222101120 is 2110122200112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21100222101120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323193802 + ... + 323259081.

Almost surely, 2^{21100222101120} is an apocalyptic number.

21100222101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100222101120 is an abundant number, since it is smaller than the sum of its proper divisors (50113027600320).

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

21100222101120 is a wasteful number, since it uses less digits than its factorization.

21100222101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646452922 (or 646452910 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21100222101120 its reverse (2110122200112), we get a palindrome (23210344301232).

The spelling of 21100222101120 in words is "twenty-one trillion, one hundred billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty".