100131221110122 has 48 divisors (see below), whose sum is σ = 226718023334400. Its totient is φ = 31878738599136.

The previous prime is 100131221110121. The next prime is 100131221110133. The reversal of 100131221110122 is 221011122131001.

It is a happy number.

100131221110122 is a `hidden beast` number, since 10 + 0 + 1 + 312 + 211 + 10 + 122 = 666.

It is a super-2 number, since 2×100131221110122² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 100131221110095 and 100131221110104.

It is not an unprimeable number, because it can be changed into a prime (100131221110121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178348122 + ... + 178908677.

It is an arithmetic number, because the mean of its divisors is an integer number (4723292152800).

Almost surely, 2^{100131221110122} is an apocalyptic number.

100131221110122 is an abundant number, since it is smaller than the sum of its proper divisors (126586802224278).

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

100131221110122 is a wasteful number, since it uses less digits than its factorization.

100131221110122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357257507 (or 357257504 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 100131221110122 its reverse (221011122131001), we get a palindrome (321142343241123).

The spelling of 100131221110122 in words is "one hundred trillion, one hundred thirty-one billion, two hundred twenty-one million, one hundred ten thousand, one hundred twenty-two".