21122122112100 has 216 divisors, whose sum is σ = 70155469762560. Its totient is φ = 5297088752640.

The previous prime is 21122122112087. The next prime is 21122122112131. The reversal of 21122122112100 is 121122122112.

21122122112100 is a `hidden beast` number, since 2 + 11 + 221 + 221 + 1 + 210 + 0 = 666.

It is a super-2 number, since 2×21122122112100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 19029009 + ... + 20108391.

Almost surely, 2^{21122122112100} is an apocalyptic number.

21122122112100 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 21122122112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35077734881280).

21122122112100 is an abundant number, since it is smaller than the sum of its proper divisors (49033347650460).

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

21122122112100 is a wasteful number, since it uses less digits than its factorization.

21122122112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080699 (or 1080689 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21122122112100 its reverse (121122122112), we get a palindrome (21243244234212).

The spelling of 21122122112100 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twelve thousand, one hundred".