2102002313100 has 144 divisors (see below), whose sum is σ = 6253129107456. Its totient is φ = 544843584000.

The previous prime is 2102002313087. The next prime is 2102002313101. The reversal of 2102002313100 is 13132002012.

It is a super-2 number, since 2×2102002313100² (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 2102002313100.

It is not an unprimeable number, because it can be changed into a prime (2102002313101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3017997 + ... + 3648603.

Almost surely, 2^{2102002313100} is an apocalyptic number.

2102002313100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102002313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126564553728).

2102002313100 is an abundant number, since it is smaller than the sum of its proper divisors (4151126794356).

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

2102002313100 is a wasteful number, since it uses less digits than its factorization.

2102002313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630936 (or 630929 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2102002313100 its reverse (13132002012), we get a palindrome (2115134315112).

The spelling of 2102002313100 in words is "two trillion, one hundred two billion, two million, three hundred thirteen thousand, one hundred".