122211012000100 has 18 divisors (see below), whose sum is σ = 265197896040434. Its totient is φ = 48884404800000.

The previous prime is 122211012000083. The next prime is 122211012000107. The reversal of 122211012000100 is 1000210112221.

122211012000100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 27735411339364 + 94475600660736 = 5266442^2 + 9719856^2 .

It is not an unprimeable number, because it can be changed into a prime (122211012000107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 611055059901 + ... + 611055060100.

Almost surely, 2^{122211012000100} is an apocalyptic number.

122211012000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122211012000100 is an abundant number, since it is smaller than the sum of its proper divisors (142986884040334).

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

122211012000100 is a wasteful number, since it uses less digits than its factorization.

122211012000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222110120015 (or 1222110120008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122211012000100 its reverse (1000210112221), we get a palindrome (123211222112321).

The spelling of 122211012000100 in words is "one hundred twenty-two trillion, two hundred eleven billion, twelve million, one hundred", and thus it is an aban number.