101023021 has 12 divisors (see below), whose sum is σ = 112572796. Its totient is φ = 90573120.

The previous prime is 101023007. The next prime is 101023051. The reversal of 101023021 is 120320101.

It can be written as a sum of positive squares in 2 ways, for example, as 43414921 + 57608100 = 6589^2 + 7590^2 .

It is not a de Polignac number, because 101023021 - 2¹³ = 101014829 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101022989 and 101023007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101023051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3115 + ... + 14551.

Almost surely, 2^101023021 is an apocalyptic number.

101023021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101023021 is a deficient number, since it is larger than the sum of its proper divisors (11549775).

101023021 is a wasteful number, since it uses less digits than its factorization.

101023021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11532 (or 11521 counting only the distinct ones).

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

The square root of 101023021 is about 10051.0208934217. The cubic root of 101023021 is about 465.7363306060.

Adding to 101023021 its reverse (120320101), we get a palindrome (221343122).

The spelling of 101023021 in words is "one hundred one million, twenty-three thousand, twenty-one".