122131203110100 has 432 divisors, whose sum is σ = 406813155468720. Its totient is φ = 30588171264000.

The previous prime is 122131203110099. The next prime is 122131203110159. The reversal of 122131203110100 is 1011302131221.

122131203110100 is a `hidden beast` number, since 1 + 221 + 3 + 120 + 311 + 0 + 10 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 57225654375696 + 64905548734404 = 7564764^2 + 8056398^2 .

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 143 ways as a sum of consecutive naturals, for example, 4926023304 + ... + 4926048096.

Almost surely, 2^{122131203110100} is an apocalyptic number.

122131203110100 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 122131203110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203406577734360).

122131203110100 is an abundant number, since it is smaller than the sum of its proper divisors (284681952358620).

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

122131203110100 is a wasteful number, since it uses less digits than its factorization.

122131203110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29980 (or 29970 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 122131203110100 its reverse (1011302131221), we get a palindrome (123142505241321).

The spelling of 122131203110100 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, two hundred three million, one hundred ten thousand, one hundred".