2113200010100 has 36 divisors (see below), whose sum is σ = 4587070161324. Its totient is φ = 845017121280.

The previous prime is 2113200010073. The next prime is 2113200010109. The reversal of 2113200010100 is 10100023112.

It can be written as a sum of positive squares in 6 ways, for example, as 1764336016 + 2111435674084 = 42004^2 + 1453078^2 .

It is a super-2 number, since 2×2113200010100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113200010109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2962727 + ... + 3606126.

Almost surely, 2^{2113200010100} is an apocalyptic number.

2113200010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113200010100 is an abundant number, since it is smaller than the sum of its proper divisors (2473870151224).

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

2113200010100 is a wasteful number, since it uses less digits than its factorization.

2113200010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6572084 (or 6572077 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 2113200010100 its reverse (10100023112), we get a palindrome (2123300033212).

The spelling of 2113200010100 in words is "two trillion, one hundred thirteen billion, two hundred million, ten thousand, one hundred".