2100101120192 has 112 divisors (see below), whose sum is σ = 4242277308672. Its totient is φ = 1031372559360.

The previous prime is 2100101120167. The next prime is 2100101120251. The reversal of 2100101120192 is 2910211010012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706865267 + ... + 706868237.

Almost surely, 2^{2100101120192} 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 2100101120192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121138654336).

2100101120192 is an abundant number, since it is smaller than the sum of its proper divisors (2142176188480).

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

2100101120192 is a wasteful number, since it uses less digits than its factorization.

2100101120192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3926 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 2100101120192 in words is "two trillion, one hundred billion, one hundred one million, one hundred twenty thousand, one hundred ninety-two".