21122100022100 has 216 divisors, whose sum is σ = 57959142294144. Its totient is φ = 6539908320000.

The previous prime is 21122100022073. The next prime is 21122100022159. The reversal of 21122100022100 is 122000122112.

It is a super-2 number, since 2×21122100022100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11963954 + ... + 13615446.

Almost surely, 2^{21122100022100} is an apocalyptic number.

21122100022100 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 21122100022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28979571147072).

21122100022100 is an abundant number, since it is smaller than the sum of its proper divisors (36837042272044).

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

21122100022100 is a wasteful number, since it uses less digits than its factorization.

21122100022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651687 (or 1651669 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21122100022100 its reverse (122000122112), we get a palindrome (21244100144212).

The spelling of 21122100022100 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred million, twenty-two thousand, one hundred".