100101201031 has 48 divisors (see below), whose sum is σ = 118697840640. Its totient is φ = 84000084480.

The previous prime is 100101200999. The next prime is 100101201043. The reversal of 100101201031 is 130102101001.

It is not a de Polignac number, because 100101201031 - 2⁵ = 100101200999 is a prime.

It is a super-2 number, since 2×100101201031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100101200999 and 100101201017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101201091) 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, 81848286 + ... + 81849508.

It is an arithmetic number, because the mean of its divisors is an integer number (2472871680).

Almost surely, 2^100101201031 is an apocalyptic number.

100101201031 is a deficient number, since it is larger than the sum of its proper divisors (18596639609).

100101201031 is a wasteful number, since it uses less digits than its factorization.

100101201031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 100101201031 its reverse (130102101001), we get a palindrome (230203302032).

The spelling of 100101201031 in words is "one hundred billion, one hundred one million, two hundred one thousand, thirty-one".