122132101022100 has 216 divisors, whose sum is σ = 412359982714680. Its totient is φ = 30056264663040.

The previous prime is 122132101022059. The next prime is 122132101022111. The reversal of 122132101022100 is 1220101231221.

122132101022100 is a `hidden beast` number, since 1 + 221 + 3 + 210 + 10 + 221 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 20282304873744 + 101849796148356 = 4503588^2 + 10092066^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48964392 + ... + 51398208.

Almost surely, 2^{122132101022100} is an apocalyptic number.

122132101022100 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 122132101022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206179991357340).

122132101022100 is an abundant number, since it is smaller than the sum of its proper divisors (290227881692580).

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

122132101022100 is a wasteful number, since it uses less digits than its factorization.

122132101022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438139 (or 2438129 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122132101022100 its reverse (1220101231221), we get a palindrome (123352202253321).

The spelling of 122132101022100 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, one hundred one million, twenty-two thousand, one hundred".