102100102120001 has 4 divisors (see below), whose sum is σ = 102613167960000. Its totient is φ = 101587036280004.

The previous prime is 102100102119991. The next prime is 102100102120013. The reversal of 102100102120001 is 100021201001201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 102100102120001 - 2¹⁴ = 102100102103617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102100102120801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 256532919701 + ... + 256532920098.

It is an arithmetic number, because the mean of its divisors is an integer number (25653291990000).

Almost surely, 2^{102100102120001} is an apocalyptic number.

It is an amenable number.

102100102120001 is a deficient number, since it is larger than the sum of its proper divisors (513065839999).

102100102120001 is an equidigital number, since it uses as much as digits as its factorization.

102100102120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513065839998.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102100102120001 its reverse (100021201001201), we get a palindrome (202121303121202).

The spelling of 102100102120001 in words is "one hundred two trillion, one hundred billion, one hundred two million, one hundred twenty thousand, one".