2201000100093 has 24 divisors (see below), whose sum is σ = 3183466343928. Its totient is φ = 1465375629312.

The previous prime is 2201000100043. The next prime is 2201000100151. The reversal of 2201000100093 is 3900010001022.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 752282144964 + 1448717955129 = 867342^2 + 1203627^2 .

It is not a de Polignac number, because 2201000100093 - 2¹⁶ = 2201000034557 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201000100043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28109205 + ... + 28187397.

It is an arithmetic number, because the mean of its divisors is an integer number (132644430997).

Almost surely, 2^{2201000100093} is an apocalyptic number.

It is an amenable number.

2201000100093 is a deficient number, since it is larger than the sum of its proper divisors (982466243835).

2201000100093 is a wasteful number, since it uses less digits than its factorization.

2201000100093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82333 (or 82330 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The spelling of 2201000100093 in words is "two trillion, two hundred one billion, one hundred thousand, ninety-three".