20100002002101 has 48 divisors (see below), whose sum is σ = 33245804176000. Its totient is φ = 11463283244160.

The previous prime is 20100002002043. The next prime is 20100002002117. The reversal of 20100002002101 is 10120020000102.

It is not a de Polignac number, because 20100002002101 - 2³⁴ = 20082822132917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100002002141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95382150 + ... + 95592648.

Almost surely, 2^{20100002002101} is an apocalyptic number.

20100002002101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20100002002101 is a deficient number, since it is larger than the sum of its proper divisors (13145802173899).

20100002002101 is a wasteful number, since it uses less digits than its factorization.

20100002002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213466 (or 213463 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20100002002101 its reverse (10120020000102), we get a palindrome (30220022002203).

The spelling of 20100002002101 in words is "twenty trillion, one hundred billion, two million, two thousand, one hundred one".