102200102201001 has 24 divisors (see below), whose sum is σ = 158515299459264. Its totient is φ = 58399743316320.

The previous prime is 102200102200981. The next prime is 102200102201063. The reversal of 102200102201001 is 100102201002201.

It is not a de Polignac number, because 102200102201001 - 2²⁹ = 102199565330089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102200102201101) 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, 26966796 + ... + 30522258.

It is an arithmetic number, because the mean of its divisors is an integer number (6604804144136).

Almost surely, 2^{102200102201001} is an apocalyptic number.

It is an amenable number.

102200102201001 is a deficient number, since it is larger than the sum of its proper divisors (56315197258263).

102200102201001 is a wasteful number, since it uses less digits than its factorization.

102200102201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3751021 (or 3751014 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102200102201001 its reverse (100102201002201), we get a palindrome (202302303203202).

It can be divided in two parts, 102200 and 102201001, that added together give a palindrome (102303201).

The spelling of 102200102201001 in words is "one hundred two trillion, two hundred billion, one hundred two million, two hundred one thousand, one".