100122212000 has 96 divisors (see below), whose sum is σ = 249465775104. Its totient is φ = 39484704000.

The previous prime is 100122211999. The next prime is 100122212017. The reversal of 100122212000 is 212221001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107729 + ... + 460271.

It is an arithmetic number, because the mean of its divisors is an integer number (2598601824).

Almost surely, 2^100122212000 is an apocalyptic number.

100122212000 is a gapful number since it is divisible by the number (10) 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 100122212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124732887552).

100122212000 is an abundant number, since it is smaller than the sum of its proper divisors (149343563104).

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

100122212000 is an equidigital number, since it uses as much as digits as its factorization.

100122212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352639 (or 352621 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100122212000 its reverse (212221001), we get a palindrome (100334433001).

Subtracting from 100122212000 its reverse (212221001), we obtain a palindrome (99909990999).

The spelling of 100122212000 in words is "one hundred billion, one hundred twenty-two million, two hundred twelve thousand".