100121222131 has 16 divisors (see below), whose sum is σ = 114575040000. Its totient is φ = 85705193088.

The previous prime is 100121222093. The next prime is 100121222141. The reversal of 100121222131 is 131222121001.

It is a cyclic number.

It is not a de Polignac number, because 100121222131 - 2¹¹ = 100121220083 is a prime.

It is a super-2 number, since 2×100121222131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100121222141) by changing a digit.

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, 31256976 + ... + 31260178.

It is an arithmetic number, because the mean of its divisors is an integer number (7160940000).

Almost surely, 2^100121222131 is an apocalyptic number.

100121222131 is a deficient number, since it is larger than the sum of its proper divisors (14453817869).

100121222131 is a wasteful number, since it uses less digits than its factorization.

100121222131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7698.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 100121222131 its reverse (131222121001), we get a palindrome (231343343132).

The spelling of 100121222131 in words is "one hundred billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred thirty-one".