2002110022100 has 18 divisors (see below), whose sum is σ = 4344578748174. Its totient is φ = 800844008800.

The previous prime is 2002110022093. The next prime is 2002110022109. The reversal of 2002110022100 is 12200112002.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 334530364996 + 1667579657104 = 578386^2 + 1291348^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002110022109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10010550011 + ... + 10010550210.

Almost surely, 2^{2002110022100} is an apocalyptic number.

2002110022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002110022100 is an abundant number, since it is smaller than the sum of its proper divisors (2342468726074).

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

2002110022100 is a wasteful number, since it uses less digits than its factorization.

2002110022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20021100235 (or 20021100228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2002110022100 its reverse (12200112002), we get a palindrome (2014310134102).

The spelling of 2002110022100 in words is "two trillion, two billion, one hundred ten million, twenty-two thousand, one hundred".