21202022100 has 288 divisors, whose sum is σ = 74000819200. Its totient is φ = 4578508800.

The previous prime is 21202022071. The next prime is 21202022117. The reversal of 21202022100 is 122020212.

It is a super-2 number, since 2×21202022100² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27570516 + ... + 27571284.

Almost surely, 2^21202022100 is an apocalyptic number.

21202022100 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 21202022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37000409600).

21202022100 is an abundant number, since it is smaller than the sum of its proper divisors (52798797100).

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

21202022100 is a wasteful number, since it uses less digits than its factorization.

21202022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21202022100 its reverse (122020212), we get a palindrome (21324042312).

The spelling of 21202022100 in words is "twenty-one billion, two hundred two million, twenty-two thousand, one hundred".