2110201313100 has 72 divisors (see below), whose sum is σ = 6302467949568. Its totient is φ = 544568078400.

The previous prime is 2110201313081. The next prime is 2110201313189. The reversal of 2110201313100 is 13131020112.

It is a happy number.

It is a super-2 number, since 2×2110201313100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2110201313100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113442384 + ... + 113460983.

Almost surely, 2^{2110201313100} is an apocalyptic number.

2110201313100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110201313100 is an abundant number, since it is smaller than the sum of its proper divisors (4192266636468).

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

2110201313100 is a wasteful number, since it uses less digits than its factorization.

2110201313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226903415 (or 226903408 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2110201313100 its reverse (13131020112), we get a palindrome (2123332333212).

It can be divided in two parts, 2110201 and 313100, that added together give a triangular number (2423301 = T₂₂₀₁).

The spelling of 2110201313100 in words is "two trillion, one hundred ten billion, two hundred one million, three hundred thirteen thousand, one hundred".