101000211031 has 16 divisors (see below), whose sum is σ = 104263061760. Its totient is φ = 97782491520.

The previous prime is 101000210999. The next prime is 101000211043. The reversal of 101000211031 is 130112000101.

It is a cyclic number.

It is not a de Polignac number, because 101000211031 - 2⁵ = 101000210999 is a prime.

It is a super-2 number, since 2×101000211031² (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 = 101000210999 and 101000211017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000211331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2372671 + ... + 2414863.

It is an arithmetic number, because the mean of its divisors is an integer number (6516441360).

Almost surely, 2^101000211031 is an apocalyptic number.

101000211031 is a deficient number, since it is larger than the sum of its proper divisors (3262850729).

101000211031 is a wasteful number, since it uses less digits than its factorization.

101000211031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42726.

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

Adding to 101000211031 its reverse (130112000101), we get a palindrome (231112211132).

The spelling of 101000211031 in words is "one hundred one billion, two hundred eleven thousand, thirty-one".