102100012010001 has 24 divisors (see below), whose sum is σ = 147897602597160. Its totient is φ = 67873173854976.

The previous prime is 102100012009997. The next prime is 102100012010039. The reversal of 102100012010001 is 100010210001201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 50598003600 + 102049414006401 = 224940^2 + 10101951^2 .

It is not a de Polignac number, because 102100012010001 - 2² = 102100012009997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (102100012410001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5908366 + ... + 15463143.

It is an arithmetic number, because the mean of its divisors is an integer number (6162400108215).

Almost surely, 2^{102100012010001} is an apocalyptic number.

It is an amenable number.

102100012010001 is a deficient number, since it is larger than the sum of its proper divisors (45797590587159).

102100012010001 is a wasteful number, since it uses less digits than its factorization.

102100012010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21373025 (or 21373022 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102100012010001 its reverse (100010210001201), we get a palindrome (202110222011202).

The spelling of 102100012010001 in words is "one hundred two trillion, one hundred billion, twelve million, ten thousand, one".