100122211313331 has 16 divisors (see below), whose sum is σ = 133591944777984. Its totient is φ = 66700317198944.

The previous prime is 100122211313329. The next prime is 100122211313363. The reversal of 100122211313331 is 133313112221001.

It is a cyclic number.

It is not a de Polignac number, because 100122211313331 - 2¹ = 100122211313329 is a prime.

It is a super-2 number, since 2×100122211313331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100122211313231) 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, 50452141 + ... + 52399073.

It is an arithmetic number, because the mean of its divisors is an integer number (8349496548624).

Almost surely, 2^{100122211313331} is an apocalyptic number.

100122211313331 is a deficient number, since it is larger than the sum of its proper divisors (33469733464653).

100122211313331 is a wasteful number, since it uses less digits than its factorization.

100122211313331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959210.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 100122211313331 its reverse (133313112221001), we get a palindrome (233435323534332).

The spelling of 100122211313331 in words is "one hundred trillion, one hundred twenty-two billion, two hundred eleven million, three hundred thirteen thousand, three hundred thirty-one".