2101510884096 has 720 divisors, whose sum is σ = 6904643037600. Its totient is φ = 631786438656.

The previous prime is 2101510884091. The next prime is 2101510884119. The reversal of 2101510884096 is 6904880151012.

It is a happy number.

2101510884096 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 510 + 8 + 8 + 40 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (2101510884091) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3642132960 + ... + 3642133536.

Almost surely, 2^{2101510884096} is an apocalyptic number.

2101510884096 is a gapful number since it is divisible by the number (26) 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 2101510884096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3452321518800).

2101510884096 is an abundant number, since it is smaller than the sum of its proper divisors (4803132153504).

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

2101510884096 is a wasteful number, since it uses less digits than its factorization.

2101510884096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 2101510884096 in words is "two trillion, one hundred one billion, five hundred ten million, eight hundred eighty-four thousand, ninety-six".