10102100010201 has 12 divisors (see below), whose sum is σ = 14591965093680. Its totient is φ = 6734713560120.

The previous prime is 10102100010181. The next prime is 10102100010283. The reversal of 10102100010201 is 10201000120101.

It is a happy number.

It is not a de Polignac number, because 10102100010201 - 2⁶ = 10102100010137 is a prime.

It is a super-2 number, since 2×10102100010201² (a number of 27 digits) contains 22 as substring.

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 (10102100015201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2014666 + ... + 4925756.

It is an arithmetic number, because the mean of its divisors is an integer number (1215997091140).

Almost surely, 2^{10102100010201} is an apocalyptic number.

It is an amenable number.

10102100010201 is a deficient number, since it is larger than the sum of its proper divisors (4489865083479).

10102100010201 is a wasteful number, since it uses less digits than its factorization.

10102100010201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3296676 (or 3296673 counting only the distinct ones).

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

Adding to 10102100010201 its reverse (10201000120101), we get a palindrome (20303100130302).

The spelling of 10102100010201 in words is "ten trillion, one hundred two billion, one hundred million, ten thousand, two hundred one".