10101202101 has 6 divisors (see below), whose sum is σ = 14590625270. Its totient is φ = 6734134728.

The previous prime is 10101202091. The next prime is 10101202109. The reversal of 10101202101 is 10120210101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10043046225 + 58155876 = 100215^2 + 7626^2 .

It is not a de Polignac number, because 10101202101 - 2¹⁵ = 10101169333 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: 1122355789 = 10101202101 / (1 + 0 + 1 + 0 + 1 + 2 + 0 + 2 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101202109) 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, 561177886 + ... + 561177903.

Almost surely, 2^10101202101 is an apocalyptic number.

It is an amenable number.

10101202101 is a deficient number, since it is larger than the sum of its proper divisors (4489423169).

10101202101 is a wasteful number, since it uses less digits than its factorization.

10101202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122355795 (or 1122355792 counting only the distinct ones).

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

Adding to 10101202101 its reverse (10120210101), we get a palindrome (20221412202).

The spelling of 10101202101 in words is "ten billion, one hundred one million, two hundred two thousand, one hundred one".