10101102201 has 24 divisors (see below), whose sum is σ = 15203827080. Its totient is φ = 6454377216.

The previous prime is 10101102161. The next prime is 10101102203. The reversal of 10101102201 is 10220110101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 832034025 + 9269068176 = 28845^2 + 96276^2 .

It is not a de Polignac number, because 10101102201 - 2²² = 10096907897 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 (10101102203) 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, 105490 + ... + 177003.

It is an arithmetic number, because the mean of its divisors is an integer number (633492795).

Almost surely, 2^10101102201 is an apocalyptic number.

It is an amenable number.

10101102201 is a deficient number, since it is larger than the sum of its proper divisors (5102724879).

10101102201 is a wasteful number, since it uses less digits than its factorization.

10101102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282665 (or 282662 counting only the distinct ones).

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

Adding to 10101102201 its reverse (10220110101), we get a palindrome (20321212302).

It can be divided in two parts, 10101 and 102201, that multiplied together give a palindrome (1032332301).

The spelling of 10101102201 in words is "ten billion, one hundred one million, one hundred two thousand, two hundred one".