21101101220100 has 72 divisors (see below), whose sum is σ = 66602748588768. Its totient is φ = 5115418476800.

The previous prime is 21101101220093. The next prime is 21101101220119. The reversal of 21101101220100 is 102210110112.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 3197133249 + ... + 3197139848.

It is an arithmetic number, because the mean of its divisors is an integer number (925038174844).

Almost surely, 2^{21101101220100} is an apocalyptic number.

21101101220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101101220100 is an abundant number, since it is smaller than the sum of its proper divisors (45501647368668).

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

21101101220100 is a wasteful number, since it uses less digits than its factorization.

21101101220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6394273125 (or 6394273118 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21101101220100 its reverse (102210110112), we get a palindrome (21203311330212).

The spelling of 21101101220100 in words is "twenty-one trillion, one hundred one billion, one hundred one million, two hundred twenty thousand, one hundred".