10102113 has 24 divisors (see below), whose sum is σ = 17087616. Its totient is φ = 5630400.

The previous prime is 10102109. The next prime is 10102117. The reversal of 10102113 is 31120101.

It is an interprime number because it is at equal distance from previous prime (10102109) and next prime (10102117).

It is not a de Polignac number, because 10102113 - 2² = 10102109 is a prime.

It is a super-3 number, since 3×10102113³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10102095 and 10102104.

It is not an unprimeable number, because it can be changed into a prime (10102117) 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, 628 + ... + 4538.

It is an arithmetic number, because the mean of its divisors is an integer number (711984).

Almost surely, 2^10102113 is an apocalyptic number.

It is an amenable number.

10102113 is a deficient number, since it is larger than the sum of its proper divisors (6985503).

10102113 is a wasteful number, since it uses less digits than its factorization.

10102113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3965 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 10102113 is about 3178.3821356155. The cubic root of 10102113 is about 216.1743063180.

Adding to 10102113 its reverse (31120101), we get a palindrome (41222214).

The spelling of 10102113 in words is "ten million, one hundred two thousand, one hundred thirteen".