101031021 has 48 divisors (see below), whose sum is σ = 180660480. Its totient is φ = 52980480.

The previous prime is 101030981. The next prime is 101031031. The reversal of 101031021 is 120130101.

It is not a de Polignac number, because 101031021 - 2⁶ = 101030957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101030994 and 101031012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101031031) 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 47 ways as a sum of consecutive naturals, for example, 229920 + ... + 230358.

It is an arithmetic number, because the mean of its divisors is an integer number (3763760).

Almost surely, 2^101031021 is an apocalyptic number.

It is an amenable number.

101031021 is a deficient number, since it is larger than the sum of its proper divisors (79629459).

101031021 is a wasteful number, since it uses less digits than its factorization.

101031021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101031021 is about 10051.4188550672. The cubic root of 101031021 is about 465.7486241481.

Adding to 101031021 its reverse (120130101), we get a palindrome (221161122).

It can be divided in two parts, 1010310 and 21, that added together give a triangular number (1010331 = T₁₄₂₁).

The spelling of 101031021 in words is "one hundred one million, thirty-one thousand, twenty-one".