10102211125 has 8 divisors (see below), whose sum is σ = 12607559640. Its totient is φ = 8081768800.

The previous prime is 10102211117. The next prime is 10102211129. The reversal of 10102211125 is 52111220101.

10102211125 is digitally balanced in base 3, 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 4 ways, for example, as 1077021124 + 9025190001 = 32818^2 + 95001^2 .

It is not a de Polignac number, because 10102211125 - 2³ = 10102211117 is a prime.

It is a super-2 number, since 2×10102211125² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10102211099 and 10102211108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102211129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40408720 + ... + 40408969.

It is an arithmetic number, because the mean of its divisors is an integer number (1575944955).

Almost surely, 2^10102211125 is an apocalyptic number.

It is an amenable number.

10102211125 is a deficient number, since it is larger than the sum of its proper divisors (2505348515).

10102211125 is an frugal number, since it uses more digits than its factorization.

10102211125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80817704 (or 80817694 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 16.

Adding to 10102211125 its reverse (52111220101), we get a palindrome (62213431226).

The spelling of 10102211125 in words is "ten billion, one hundred two million, two hundred eleven thousand, one hundred twenty-five".