100201233112031 has 8 divisors (see below), whose sum is σ = 106271870900064. Its totient is φ = 94273433860320.

The previous prime is 100201233111989. The next prime is 100201233112033. The reversal of 100201233112031 is 130211332102001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100201233112031 - 2²⁶ = 100201166003167 is a prime.

It is a super-2 number, since 2×100201233112031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100201233111994 and 100201233112012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201233112033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35709632636 + ... + 35709635441.

It is an arithmetic number, because the mean of its divisors is an integer number (13283983862508).

Almost surely, 2^{100201233112031} is an apocalyptic number.

100201233112031 is a deficient number, since it is larger than the sum of its proper divisors (6070637788033).

100201233112031 is an equidigital number, since it uses as much as digits as its factorization.

100201233112031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71419268161.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 100201233112031 its reverse (130211332102001), we get a palindrome (230412565214032).

The spelling of 100201233112031 in words is "one hundred trillion, two hundred one billion, two hundred thirty-three million, one hundred twelve thousand, thirty-one".