100201022031 has 8 divisors (see below), whose sum is σ = 145746941184. Its totient is φ = 60727892120.

The previous prime is 100201022021. The next prime is 100201022059. The reversal of 100201022031 is 130220102001.

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 100201022031 - 2²⁶ = 100133913167 is a prime.

It is a super-2 number, since 2×100201022031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100201021998 and 100201022016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201022021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1518197271 + ... + 1518197336.

It is an arithmetic number, because the mean of its divisors is an integer number (18218367648).

Almost surely, 2^100201022031 is an apocalyptic number.

100201022031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100201022031 is a deficient number, since it is larger than the sum of its proper divisors (45545919153).

100201022031 is a wasteful number, since it uses less digits than its factorization.

100201022031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036394621.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100201022031 its reverse (130220102001), we get a palindrome (230421124032).

The spelling of 100201022031 in words is "one hundred billion, two hundred one million, twenty-two thousand, thirty-one".