20000102101 has 24 divisors (see below), whose sum is σ = 23721739704. Its totient is φ = 16807190400.

The previous prime is 20000102053. The next prime is 20000102123. The reversal of 20000102101 is 10120100002.

It can be written as a sum of positive squares in 4 ways, for example, as 1425138001 + 18574964100 = 37751^2 + 136290^2 .

It is a de Polignac number, because none of the positive numbers 2^k-20000102101 is a prime.

It is a super-2 number, since 2×20000102101² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000102131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6057151 + ... + 6060451.

It is an arithmetic number, because the mean of its divisors is an integer number (988405821).

Almost surely, 2^20000102101 is an apocalyptic number.

It is an amenable number.

20000102101 is a deficient number, since it is larger than the sum of its proper divisors (3721637603).

20000102101 is a wasteful number, since it uses less digits than its factorization.

20000102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5701 (or 5694 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 20000102101 its reverse (10120100002), we get a palindrome (30120202103).

The spelling of 20000102101 in words is "twenty billion, one hundred two thousand, one hundred one".