102102202000001 has 48 divisors (see below), whose sum is σ = 128736587203200. Its totient is φ = 79241519351808.

The previous prime is 102102201999991. The next prime is 102102202000013. The reversal of 102102202000001 is 100000202201201.

It is a happy number.

It is not a de Polignac number, because 102102202000001 - 2²² = 102102197805697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102102202000081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1001591 + ... + 14325068.

It is an arithmetic number, because the mean of its divisors is an integer number (2682012233400).

Almost surely, 2^{102102202000001} is an apocalyptic number.

It is an amenable number.

102102202000001 is a deficient number, since it is larger than the sum of its proper divisors (26634385203199).

102102202000001 is a wasteful number, since it uses less digits than its factorization.

102102202000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15326826 (or 15326809 counting only the distinct ones).

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

Adding to 102102202000001 its reverse (100000202201201), we get a palindrome (202102404201202).

The spelling of 102102202000001 in words is "one hundred two trillion, one hundred two billion, two hundred two million, one", and thus it is an aban number.