20101002200100 has 108 divisors (see below), whose sum is σ = 65178077333460. Its totient is φ = 5175430444800.

The previous prime is 20101002200029. The next prime is 20101002200143. The reversal of 20101002200100 is 100220010102.

It can be written as a sum of positive squares in 6 ways, for example, as 1374057528804 + 18726944671296 = 1172202^2 + 4327464^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 385050571 + ... + 385102770.

Almost surely, 2^{20101002200100} is an apocalyptic number.

20101002200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101002200100 is an abundant number, since it is smaller than the sum of its proper divisors (45077075133360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20101002200100 is a wasteful number, since it uses less digits than its factorization.

20101002200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770153390 (or 770153380 counting only the distinct ones).

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

Adding to 20101002200100 its reverse (100220010102), we get a palindrome (20201222210202).

The spelling of 20101002200100 in words is "twenty trillion, one hundred one billion, two million, two hundred thousand, one hundred".