21122202022100 has 36 divisors (see below), whose sum is σ = 45881151702204. Its totient is φ = 8440406465280.

The previous prime is 21122202022093. The next prime is 21122202022109. The reversal of 21122202022100 is 122020222112.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2463499758916 + 18658702263184 = 1569554^2 + 4319572^2 .

It is a super-2 number, since 2×21122202022100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122202022109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105829097 + ... + 106028496.

Almost surely, 2^{21122202022100} is an apocalyptic number.

21122202022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122202022100 is an abundant number, since it is smaller than the sum of its proper divisors (24758949680104).

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

21122202022100 is a wasteful number, since it uses less digits than its factorization.

21122202022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211858604 (or 211858597 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21122202022100 its reverse (122020222112), we get a palindrome (21244222244212).

The spelling of 21122202022100 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred two million, twenty-two thousand, one hundred".