100122332033 has 16 divisors (see below), whose sum is σ = 105291580800. Its totient is φ = 95021942400.

The previous prime is 100122332027. The next prime is 100122332039. The reversal of 100122332033 is 330233221001.

It is an interprime number because it is at equal distance from previous prime (100122332027) and next prime (100122332039).

It is not a de Polignac number, because 100122332033 - 2⁴ = 100122332017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100122331996 and 100122332014.

It is not an unprimeable number, because it can be changed into a prime (100122332039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5749103 + ... + 5766491.

It is an arithmetic number, because the mean of its divisors is an integer number (6580723800).

Almost surely, 2^100122332033 is an apocalyptic number.

It is an amenable number.

100122332033 is a deficient number, since it is larger than the sum of its proper divisors (5169248767).

100122332033 is a wasteful number, since it uses less digits than its factorization.

100122332033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19352.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 100122332033 its reverse (330233221001), we get a palindrome (430355553034).

The spelling of 100122332033 in words is "one hundred billion, one hundred twenty-two million, three hundred thirty-two thousand, thirty-three".