101000013021 has 60 divisors (see below), whose sum is σ = 159564636000. Its totient is φ = 63490592880.

The previous prime is 101000013017. The next prime is 101000013067. The reversal of 101000013021 is 120310000101.

It is not a de Polignac number, because 101000013021 - 2² = 101000013017 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 = 101000012994 and 101000013012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000013221) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 168614080 + ... + 168614678.

It is an arithmetic number, because the mean of its divisors is an integer number (2659410600).

Almost surely, 2^101000013021 is an apocalyptic number.

It is an amenable number.

101000013021 is a deficient number, since it is larger than the sum of its proper divisors (58564622979).

101000013021 is an frugal number, since it uses more digits than its factorization.

101000013021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 952 counting only the distinct ones).

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

Adding to 101000013021 its reverse (120310000101), we get a palindrome (221310013122).

The spelling of 101000013021 in words is "one hundred one billion, thirteen thousand, twenty-one".