101002131021 has 16 divisors (see below), whose sum is σ = 147154249728. Its totient is φ = 61112554800.

The previous prime is 101002131019. The next prime is 101002131047. The reversal of 101002131021 is 120131200101.

It is not a de Polignac number, because 101002131021 - 2¹ = 101002131019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101002130988 and 101002131006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002131011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2501115 + ... + 2541176.

It is an arithmetic number, because the mean of its divisors is an integer number (9197140608).

Almost surely, 2^101002131021 is an apocalyptic number.

101002131021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101002131021 is a deficient number, since it is larger than the sum of its proper divisors (46152118707).

101002131021 is a wasteful number, since it uses less digits than its factorization.

101002131021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5042912.

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

Adding to 101002131021 its reverse (120131200101), we get a palindrome (221133331122).

The spelling of 101002131021 in words is "one hundred one billion, two million, one hundred thirty-one thousand, twenty-one".