20002102101 has 12 divisors (see below), whose sum is σ = 28894720140. Its totient is φ = 13333444800.

The previous prime is 20002102067. The next prime is 20002102121. The reversal of 20002102101 is 10120120002.

It can be written as a sum of positive squares in 2 ways, for example, as 9547244100 + 10454858001 = 97710^2 + 102249^2 .

It is not a de Polignac number, because 20002102101 - 2¹⁷ = 20001971029 is a prime.

It is a super-2 number, since 2×20002102101² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002102121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4050 + ... + 200051.

It is an arithmetic number, because the mean of its divisors is an integer number (2407893345).

Almost surely, 2^20002102101 is an apocalyptic number.

It is an amenable number.

20002102101 is a deficient number, since it is larger than the sum of its proper divisors (8892618039).

20002102101 is a wasteful number, since it uses less digits than its factorization.

20002102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214996 (or 214993 counting only the distinct ones).

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

Adding to 20002102101 its reverse (10120120002), we get a palindrome (30122222103).

The spelling of 20002102101 in words is "twenty billion, two million, one hundred two thousand, one hundred one".