21000011202100 has 144 divisors (see below), whose sum is σ = 52615923115392. Its totient is φ = 7126229053440.

The previous prime is 21000011202089. The next prime is 21000011202109. The reversal of 21000011202100 is 120211000012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21000011202109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31993407 + ... + 32643193.

It is an arithmetic number, because the mean of its divisors is an integer number (365388354968).

Almost surely, 2^{21000011202100} is an apocalyptic number.

21000011202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21000011202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26307961557696).

21000011202100 is an abundant number, since it is smaller than the sum of its proper divisors (31615911913292).

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

21000011202100 is a wasteful number, since it uses less digits than its factorization.

21000011202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650282 (or 650275 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21000011202100 its reverse (120211000012), we get a palindrome (21120222202112).

The spelling of 21000011202100 in words is "twenty-one trillion, eleven million, two hundred two thousand, one hundred".