122011201202100 has 576 divisors, whose sum is σ = 414863489703936. Its totient is φ = 27107748126720.

The previous prime is 122011201202083. The next prime is 122011201202113. The reversal of 122011201202100 is 1202102110221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122011201202100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43067842284 + ... + 43067845116.

Almost surely, 2^{122011201202100} is an apocalyptic number.

122011201202100 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 122011201202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207431744851968).

122011201202100 is an abundant number, since it is smaller than the sum of its proper divisors (292852288501836).

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

122011201202100 is a wasteful number, since it uses less digits than its factorization.

122011201202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5744 (or 5737 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122011201202100 its reverse (1202102110221), we get a palindrome (123213303312321).

The spelling of 122011201202100 in words is "one hundred twenty-two trillion, eleven billion, two hundred one million, two hundred two thousand, one hundred".