21101001012100 has 36 divisors (see below), whose sum is σ = 46242530358948. Its totient is φ = 8356832080000.

The previous prime is 21101001012059. The next prime is 21101001012139. The reversal of 21101001012100 is 121010010112.

It can be written as a sum of positive squares in 6 ways, for example, as 3207136559104 + 17893864452996 = 1790848^2 + 4230114^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1044593911 + ... + 1044614110.

It is an arithmetic number, because the mean of its divisors is an integer number (1284514732193).

Almost surely, 2^{21101001012100} is an apocalyptic number.

21101001012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101001012100 is an abundant number, since it is smaller than the sum of its proper divisors (25141529346848).

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

21101001012100 is a wasteful number, since it uses less digits than its factorization.

21101001012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089208136 (or 2089208129 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 21101001012100 its reverse (121010010112), we get a palindrome (21222011022212).

The spelling of 21101001012100 in words is "twenty-one trillion, one hundred one billion, one million, twelve thousand, one hundred".