100133232211122 has 64 divisors (see below), whose sum is σ = 231326091053568. Its totient is φ = 28558218528000.

The previous prime is 100133232211043. The next prime is 100133232211141. The reversal of 100133232211122 is 221112232331001.

It is a junction number, because it is equal to n+sod(n) for n = 100133232211092 and 100133232211101.

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 31 ways as a sum of consecutive naturals, for example, 132480297 + ... + 133233987.

It is an arithmetic number, because the mean of its divisors is an integer number (3614470172712).

Almost surely, 2^{100133232211122} is an apocalyptic number.

100133232211122 is an abundant number, since it is smaller than the sum of its proper divisors (131192858842446).

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

100133232211122 is a wasteful number, since it uses less digits than its factorization.

100133232211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872135.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 100133232211122 its reverse (221112232331001), we get a palindrome (321245464542123).

The spelling of 100133232211122 in words is "one hundred trillion, one hundred thirty-three billion, two hundred thirty-two million, two hundred eleven thousand, one hundred twenty-two".