100312133100122 has 64 divisors (see below), whose sum is σ = 167688366912000. Its totient is φ = 44803185352128.

The previous prime is 100312133100071. The next prime is 100312133100131. The reversal of 100312133100122 is 221001331213001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100312133100094 and 100312133100103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281247233 + ... + 281603675.

It is an arithmetic number, because the mean of its divisors is an integer number (2620130733000).

Almost surely, 2^{100312133100122} is an apocalyptic number.

100312133100122 is a deficient number, since it is larger than the sum of its proper divisors (67376233811878).

100312133100122 is a wasteful number, since it uses less digits than its factorization.

100312133100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362475.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 100312133100122 its reverse (221001331213001), we get a palindrome (321313464313123).

The spelling of 100312133100122 in words is "one hundred trillion, three hundred twelve billion, one hundred thirty-three million, one hundred thousand, one hundred twenty-two".