101002002202021 has 16 divisors (see below), whose sum is σ = 104315477352448. Its totient is φ = 97691994615600.

The previous prime is 101002002201983. The next prime is 101002002202039. The reversal of 101002002202021 is 120202200200101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101002002202021 - 2¹⁵ = 101002002169253 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101002002201992 and 101002002202010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002002202061) 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, 793933600 + ... + 794060806.

It is an arithmetic number, because the mean of its divisors is an integer number (6519717334528).

Almost surely, 2^{101002002202021} is an apocalyptic number.

It is an amenable number.

101002002202021 is a deficient number, since it is larger than the sum of its proper divisors (3313475150427).

101002002202021 is a wasteful number, since it uses less digits than its factorization.

101002002202021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140632.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101002002202021 its reverse (120202200200101), we get a palindrome (221204202402122).

The spelling of 101002002202021 in words is "one hundred one trillion, two billion, two million, two hundred two thousand, twenty-one".