10102021101 has 6 divisors (see below), whose sum is σ = 14591808270. Its totient is φ = 6734680728.

The previous prime is 10102021091. The next prime is 10102021117. The reversal of 10102021101 is 10112020101.

It is a happy number.

10102021101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9437928201 + 664092900 = 97149^2 + 25770^2 .

It is not a de Polignac number, because 10102021101 - 2⁹ = 10102020589 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: 1122446789 = 10102021101 / (1 + 0 + 1 + 0 + 2 + 0 + 2 + 1 + 1 + 0 + 1).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102021151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 561223386 + ... + 561223403.

It is an arithmetic number, because the mean of its divisors is an integer number (2431968045).

Almost surely, 2^10102021101 is an apocalyptic number.

It is an amenable number.

10102021101 is a deficient number, since it is larger than the sum of its proper divisors (4489787169).

10102021101 is a wasteful number, since it uses less digits than its factorization.

10102021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122446795 (or 1122446792 counting only the distinct ones).

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

Adding to 10102021101 its reverse (10112020101), we get a palindrome (20214041202).

The spelling of 10102021101 in words is "ten billion, one hundred two million, twenty-one thousand, one hundred one".