102200002002101 has 64 divisors (see below), whose sum is σ = 117969376250880. Its totient is φ = 88053546147840.

The previous prime is 102200002002097. The next prime is 102200002002149. The reversal of 102200002002101 is 101200200002201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102200002002101 - 2² = 102200002002097 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 (102200002002191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87021935 + ... + 88188531.

It is an arithmetic number, because the mean of its divisors is an integer number (1843271503920).

Almost surely, 2^{102200002002101} is an apocalyptic number.

It is an amenable number.

102200002002101 is a deficient number, since it is larger than the sum of its proper divisors (15769374248779).

102200002002101 is a wasteful number, since it uses less digits than its factorization.

102200002002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166814.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102200002002101 its reverse (101200200002201), we get a palindrome (203400202004302).

The spelling of 102200002002101 in words is "one hundred two trillion, two hundred billion, two million, two thousand, one hundred one".