102100201000001 has 8 divisors (see below), whose sum is σ = 102750635416704. Its totient is φ = 101450059910640.

The previous prime is 102100200999961. The next prime is 102100201000009. The reversal of 102100201000001 is 100000102001201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102100201000001 - 2¹⁰ = 102100200998977 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102100201000009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72633446 + ... + 74025791.

It is an arithmetic number, because the mean of its divisors is an integer number (12843829427088).

Almost surely, 2^{102100201000001} is an apocalyptic number.

It is an amenable number.

102100201000001 is a deficient number, since it is larger than the sum of its proper divisors (650434416703).

102100201000001 is a wasteful number, since it uses less digits than its factorization.

102100201000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146663671.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102100201000001 its reverse (100000102001201), we get a palindrome (202100303001202).

The spelling of 102100201000001 in words is "one hundred two trillion, one hundred billion, two hundred one million, one", and thus it is an aban number.