102100210212001 has 24 divisors (see below), whose sum is σ = 111602974339584. Its totient is φ = 93330143224320.

The previous prime is 102100210211983. The next prime is 102100210212031. The reversal of 102100210212001 is 100212012001201.

It is not a de Polignac number, because 102100210212001 - 2¹³ = 102100210203809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102100210212031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16677805 + ... + 21962458.

It is an arithmetic number, because the mean of its divisors is an integer number (4650123930816).

Almost surely, 2^{102100210212001} is an apocalyptic number.

It is an amenable number.

102100210212001 is a deficient number, since it is larger than the sum of its proper divisors (9502764127583).

102100210212001 is a wasteful number, since it uses less digits than its factorization.

102100210212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38640561 (or 38640544 counting only the distinct ones).

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

Adding to 102100210212001 its reverse (100212012001201), we get a palindrome (202312222213202).

The spelling of 102100210212001 in words is "one hundred two trillion, one hundred billion, two hundred ten million, two hundred twelve thousand, one".