2200002100101 has 32 divisors (see below), whose sum is σ = 3510074126720. Its totient is φ = 1353809158272.

The previous prime is 2200002100081. The next prime is 2200002100141. The reversal of 2200002100101 is 1010012000022.

It is not a de Polignac number, because 2200002100101 - 2⁵ = 2200002100069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200002100141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17060001 + ... + 17188473.

It is an arithmetic number, because the mean of its divisors is an integer number (109689816460).

Almost surely, 2^{2200002100101} is an apocalyptic number.

It is an amenable number.

2200002100101 is a deficient number, since it is larger than the sum of its proper divisors (1310072026619).

2200002100101 is a wasteful number, since it uses less digits than its factorization.

2200002100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177282 (or 177276 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2200002100101 its reverse (1010012000022), we get a palindrome (3210014100123).

The spelling of 2200002100101 in words is "two trillion, two hundred billion, two million, one hundred thousand, one hundred one".