21122122100000 has 288 divisors, whose sum is σ = 52355821044240. Its totient is φ = 8387499520000.

The previous prime is 21122122099993. The next prime is 21122122100021. The reversal of 21122122100000 is 122122112.

It can be written as a sum of positive squares in 24 ways, for example, as 20891810411536 + 230311688464 = 4570756^2 + 479908^2 .

It is a super-2 number, since 2×21122122100000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8527298762 + ... + 8527301238.

Almost surely, 2^{21122122100000} is an apocalyptic number.

21122122100000 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 21122122100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26177910522120).

21122122100000 is an abundant number, since it is smaller than the sum of its proper divisors (31233698944240).

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

21122122100000 is an equidigital number, since it uses as much as digits as its factorization.

21122122100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098 (or 3070 counting only the distinct ones).

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

Adding to 21122122100000 its reverse (122122112), we get a palindrome (21122244222112).

The spelling of 21122122100000 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred thousand".