100122130020331 has 16 divisors (see below), whose sum is σ = 103078391542560. Its totient is φ = 97179061858560.

The previous prime is 100122130020299. The next prime is 100122130020457. The reversal of 100122130020331 is 133020031221001.

It is a cyclic number.

It is not a de Polignac number, because 100122130020331 - 2⁵ = 100122130020299 is a prime.

It is a super-2 number, since 2×100122130020331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100122130020299 and 100122130020308.

It is not an unprimeable number, because it can be changed into a prime (100122130020131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356754295 + ... + 357034831.

It is an arithmetic number, because the mean of its divisors is an integer number (6442399471410).

Almost surely, 2^{100122130020331} is an apocalyptic number.

100122130020331 is a deficient number, since it is larger than the sum of its proper divisors (2956261522229).

100122130020331 is a wasteful number, since it uses less digits than its factorization.

100122130020331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304014.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100122130020331 its reverse (133020031221001), we get a palindrome (233142161241332).

The spelling of 100122130020331 in words is "one hundred trillion, one hundred twenty-two billion, one hundred thirty million, twenty thousand, three hundred thirty-one".