10100010202101 has 6 divisors (see below), whose sum is σ = 14588903625270. Its totient is φ = 6733340134728.

The previous prime is 10100010202097. The next prime is 10100010202123. The reversal of 10100010202101 is 10120201000101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 5517730530225 + 4582279671876 = 2348985^2 + 2140626^2 .

It is not a de Polignac number, because 10100010202101 - 2² = 10100010202097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1122223355789 = 10100010202101 / (1 + 0 + 1 + 0 + 0 + 0 + 1 + 0 + 2 + 0 + 2 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100010202141) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561111677886 + ... + 561111677903.

It is an arithmetic number, because the mean of its divisors is an integer number (2431483937545).

Almost surely, 2^{10100010202101} is an apocalyptic number.

It is an amenable number.

10100010202101 is a deficient number, since it is larger than the sum of its proper divisors (4488893423169).

10100010202101 is a wasteful number, since it uses less digits than its factorization.

10100010202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122223355795 (or 1122223355792 counting only the distinct ones).

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

Adding to 10100010202101 its reverse (10120201000101), we get a palindrome (20220211202202).

The spelling of 10100010202101 in words is "ten trillion, one hundred billion, ten million, two hundred two thousand, one hundred one".