122110101022100 has 18 divisors (see below), whose sum is σ = 264978919218174. Its totient is φ = 48844040408800.

The previous prime is 122110101022061. The next prime is 122110101022103. The reversal of 122110101022100 is 1220101011221.

It can be written as a sum of positive squares in 3 ways, for example, as 2097155800336 + 120012945221764 = 1448156^2 + 10955042^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122110101022103) 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, 610550505011 + ... + 610550505210.

Almost surely, 2^{122110101022100} is an apocalyptic number.

122110101022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122110101022100 is an abundant number, since it is smaller than the sum of its proper divisors (142868818196074).

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

122110101022100 is a wasteful number, since it uses less digits than its factorization.

122110101022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221101010235 (or 1221101010228 counting only the distinct ones).

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

Adding to 122110101022100 its reverse (1220101011221), we get a palindrome (123330202033321).

The spelling of 122110101022100 in words is "one hundred twenty-two trillion, one hundred ten billion, one hundred one million, twenty-two thousand, one hundred".