2101001220096 has 208 divisors, whose sum is σ = 5967928525440. Its totient is φ = 655474360320.

The previous prime is 2101001220067. The next prime is 2101001220103. The reversal of 2101001220096 is 6900221001012.

It is a super-2 number, since 2×2101001220096² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19323966 + ... + 19432386.

Almost surely, 2^{2101001220096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101001220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983964262720).

2101001220096 is an abundant number, since it is smaller than the sum of its proper divisors (3866927305344).

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

2101001220096 is a wasteful number, since it uses less digits than its factorization.

2101001220096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108550 (or 108528 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 2101001220096 in words is "two trillion, one hundred one billion, one million, two hundred twenty thousand, ninety-six".