2101513200 has 240 divisors, whose sum is σ = 6961637760. Its totient is φ = 541578240.

The previous prime is 2101513189. The next prime is 2101513241. The reversal of 2101513200 is 23151012.

It is a tau number, because it is divible by the number of its divisors (240).

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 2101513200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7172254 + ... + 7172546.

It is an arithmetic number, because the mean of its divisors is an integer number (29006824).

Almost surely, 2^2101513200 is an apocalyptic number.

2101513200 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 2101513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480818880).

2101513200 is an abundant number, since it is smaller than the sum of its proper divisors (4860124560).

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

2101513200 is a wasteful number, since it uses less digits than its factorization.

2101513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 2101513200 is about 45842.2643419803. The cubic root of 2101513200 is about 1280.8866740580.

Adding to 2101513200 its reverse (23151012), we get a palindrome (2124664212).

The spelling of 2101513200 in words is "two billion, one hundred one million, five hundred thirteen thousand, two hundred".