102102100021201 has 16 divisors (see below), whose sum is σ = 117794996858880. Its totient is φ = 86686150758480.

The previous prime is 102102100021153. The next prime is 102102100021211. The reversal of 102102100021201 is 102120001201201.

It is not a de Polignac number, because 102102100021201 - 2²⁹ = 102101563150289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102102100021211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4051041 + ... + 14853118.

It is an arithmetic number, because the mean of its divisors is an integer number (7362187303680).

Almost surely, 2^{102102100021201} is an apocalyptic number.

It is an amenable number.

102102100021201 is a deficient number, since it is larger than the sum of its proper divisors (15692896837679).

102102100021201 is a wasteful number, since it uses less digits than its factorization.

102102100021201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18911484.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102102100021201 its reverse (102120001201201), we get a palindrome (204222101222402).

The spelling of 102102100021201 in words is "one hundred two trillion, one hundred two billion, one hundred million, twenty-one thousand, two hundred one".