100312121022 has 32 divisors (see below), whose sum is σ = 206072100000. Its totient is φ = 32529621888.

The previous prime is 100312120973. The next prime is 100312121057. The reversal of 100312121022 is 220121213001.

It is a super-3 number, since 3×100312121022³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100312120992 and 100312121010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2141104 + ... + 2187452.

It is an arithmetic number, because the mean of its divisors is an integer number (6439753125).

Almost surely, 2^100312121022 is an apocalyptic number.

100312121022 is an abundant number, since it is smaller than the sum of its proper divisors (105759978978).

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

100312121022 is a wasteful number, since it uses less digits than its factorization.

100312121022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56140.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100312121022 its reverse (220121213001), we get a palindrome (320433334023).

The spelling of 100312121022 in words is "one hundred billion, three hundred twelve million, one hundred twenty-one thousand, twenty-two".