10102100001 has 16 divisors (see below), whose sum is σ = 15446223744. Its totient is φ = 5752923264.

The previous prime is 10102099993. The next prime is 10102100011. The reversal of 10102100001 is 10000120101.

It is not a de Polignac number, because 10102100001 - 2³ = 10102099993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10102100011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 814756 + ... + 827061.

It is an arithmetic number, because the mean of its divisors is an integer number (965388984).

Almost surely, 2^10102100001 is an apocalyptic number.

It is an amenable number.

10102100001 is a deficient number, since it is larger than the sum of its proper divisors (5344123743).

10102100001 is a wasteful number, since it uses less digits than its factorization.

10102100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642120.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10102100001 its reverse (10000120101), we get a palindrome (20102220102).

The spelling of 10102100001 in words is "ten billion, one hundred two million, one hundred thousand, one".