2101201101191 has 16 divisors (see below), whose sum is σ = 2194638188544. Its totient is φ = 2007938385024.

The previous prime is 2101201101163. The next prime is 2101201101211. The reversal of 2101201101191 is 1911011021012.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101201101191 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101201101101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116098655 + ... + 116116751.

It is an arithmetic number, because the mean of its divisors is an integer number (137164886784).

Almost surely, 2^{2101201101191} is an apocalyptic number.

2101201101191 is a deficient number, since it is larger than the sum of its proper divisors (93437087353).

2101201101191 is a wasteful number, since it uses less digits than its factorization.

2101201101191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22630.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 2101201101191 in words is "two trillion, one hundred one billion, two hundred one million, one hundred one thousand, one hundred ninety-one".