101000022031 has 8 divisors (see below), whose sum is σ = 102075384320. Its totient is φ = 99930217752.

The previous prime is 101000022023. The next prime is 101000022043. The reversal of 101000022031 is 130220000101.

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 101000022031 - 2³ = 101000022023 is a prime.

It is a super-2 number, since 2×101000022031² (a number of 23 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 = 101000021999 and 101000022017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000022731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1352961 + ... + 1425658.

It is an arithmetic number, because the mean of its divisors is an integer number (12759423040).

Almost surely, 2^101000022031 is an apocalyptic number.

101000022031 is a deficient number, since it is larger than the sum of its proper divisors (1075362289).

101000022031 is a wasteful number, since it uses less digits than its factorization.

101000022031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779005.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 101000022031 its reverse (130220000101), we get a palindrome (231220022132).

The spelling of 101000022031 in words is "one hundred one billion, twenty-two thousand, thirty-one".