102210021100113 has 4 divisors (see below), whose sum is σ = 136280028133488. Its totient is φ = 68140014066740.

The previous prime is 102210021100087. The next prime is 102210021100139. The reversal of 102210021100113 is 311001120012201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (102210021100087) and next prime (102210021100139).

It is a cyclic number.

It is not a de Polignac number, because 102210021100113 - 2⁵ = 102210021100081 is a prime.

It is a super-3 number, since 3×102210021100113³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102210021100092 and 102210021100101.

It is not an unprimeable number, because it can be changed into a prime (102210021100183) 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 3 ways as a sum of consecutive naturals, for example, 17035003516683 + ... + 17035003516688.

It is an arithmetic number, because the mean of its divisors is an integer number (34070007033372).

Almost surely, 2^{102210021100113} is an apocalyptic number.

It is an amenable number.

102210021100113 is a deficient number, since it is larger than the sum of its proper divisors (34070007033375).

102210021100113 is an equidigital number, since it uses as much as digits as its factorization.

102210021100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34070007033374.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 102210021100113 its reverse (311001120012201), we get a palindrome (413211141112314).

The spelling of 102210021100113 in words is "one hundred two trillion, two hundred ten billion, twenty-one million, one hundred thousand, one hundred thirteen".