102102102101001 has 16 divisors (see below), whose sum is σ = 136280398953600. Its totient is φ = 67995942528000.

The previous prime is 102102102100987. The next prime is 102102102101009. The reversal of 102102102101001 is 100101201201201.

It is not a de Polignac number, because 102102102101001 - 2²⁷ = 102101967883273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102102102101009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70057675 + ... + 71500223.

It is an arithmetic number, because the mean of its divisors is an integer number (8517524934600).

Almost surely, 2^{102102102101001} is an apocalyptic number.

It is an amenable number.

102102102101001 is a deficient number, since it is larger than the sum of its proper divisors (34178296852599).

102102102101001 is a wasteful number, since it uses less digits than its factorization.

102102102101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467536.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102102102101001 its reverse (100101201201201), we get a palindrome (202203303302202).

The spelling of 102102102101001 in words is "one hundred two trillion, one hundred two billion, one hundred two million, one hundred one thousand, one".