122201010112100 has 72 divisors (see below), whose sum is σ = 274782799728360. Its totient is φ = 47115285575680.

The previous prime is 122201010112091. The next prime is 122201010112127. The reversal of 122201010112100 is 1211010102221.

It can be written as a sum of positive squares in 12 ways, for example, as 16493865277696 + 105707144834404 = 4061264^2 + 10281398^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33810047 + ... + 37249446.

It is an arithmetic number, because the mean of its divisors is an integer number (3816427774005).

Almost surely, 2^{122201010112100} is an apocalyptic number.

122201010112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201010112100 is an abundant number, since it is smaller than the sum of its proper divisors (152581789616260).

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

122201010112100 is a wasteful number, since it uses less digits than its factorization.

122201010112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71060129 (or 71060122 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122201010112100 its reverse (1211010102221), we get a palindrome (123412020214321).

The spelling of 122201010112100 in words is "one hundred twenty-two trillion, two hundred one billion, ten million, one hundred twelve thousand, one hundred".