100232101232001 has 48 divisors (see below), whose sum is σ = 150180536892048. Its totient is φ = 64364984640000.

The previous prime is 100232101231967. The next prime is 100232101232113.

100232101232001 is a `hidden beast` number, since 10 + 0 + 2 + 321 + 0 + 12 + 320 + 0 + 1 = 666.

100232101232001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 20365724865600 + 79866376366401 = 4512840^2 + 8936799^2 .

It is not a de Polignac number, because 100232101232001 - 2¹³ = 100232101223809 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100232101232701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332849835 + ... + 333150831.

It is an arithmetic number, because the mean of its divisors is an integer number (3128761185251).

Almost surely, 2^{100232101232001} is an apocalyptic number.

It is an amenable number.

100232101232001 is a deficient number, since it is larger than the sum of its proper divisors (49948435660047).

100232101232001 is a wasteful number, since it uses less digits than its factorization.

100232101232001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311042 (or 311039 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 10023210 and 1232001, that added together give a palindrome (11255211).

The spelling of 100232101232001 in words is "one hundred trillion, two hundred thirty-two billion, one hundred one million, two hundred thirty-two thousand, one".