101002010021021 has 16 divisors (see below), whose sum is σ = 101513455920576. Its totient is φ = 100491164315136.

The previous prime is 101002010020993. The next prime is 101002010021113. The reversal of 101002010021021 is 120120010200101.

It is a cyclic number.

It is not a de Polignac number, because 101002010021021 - 2¹⁰ = 101002010019997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101002010020993 and 101002010021011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002010021221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3730163735 + ... + 3730190811.

It is an arithmetic number, because the mean of its divisors is an integer number (6344590995036).

Almost surely, 2^{101002010021021} is an apocalyptic number.

It is an amenable number.

101002010021021 is a deficient number, since it is larger than the sum of its proper divisors (511445899555).

101002010021021 is a wasteful number, since it uses less digits than its factorization.

101002010021021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37468.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101002010021021 its reverse (120120010200101), we get a palindrome (221122020221122).

The spelling of 101002010021021 in words is "one hundred one trillion, two billion, ten million, twenty-one thousand, twenty-one".