10100331121122 has 24 divisors (see below), whose sum is σ = 23873509923120. Its totient is φ = 3060706400280.

The previous prime is 10100331121033. The next prime is 10100331121129. The reversal of 10100331121122 is 22112113300101.

10100331121122 is a `hidden beast` number, since 1 + 0 + 100 + 331 + 1 + 211 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10100331121095 and 10100331121104.

It is not an unprimeable number, because it can be changed into a prime (10100331121129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25505886472 + ... + 25505886867.

It is an arithmetic number, because the mean of its divisors is an integer number (994729580130).

Almost surely, 2^{10100331121122} is an apocalyptic number.

10100331121122 is an abundant number, since it is smaller than the sum of its proper divisors (13773178801998).

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

10100331121122 is a wasteful number, since it uses less digits than its factorization.

10100331121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51011773358 (or 51011773355 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10100331121122 its reverse (22112113300101), we get a palindrome (32212444421223).

The spelling of 10100331121122 in words is "ten trillion, one hundred billion, three hundred thirty-one million, one hundred twenty-one thousand, one hundred twenty-two".