102001111203113 has 16 divisors (see below), whose sum is σ = 108228005957520. Its totient is φ = 95799566370816.

The previous prime is 102001111203029. The next prime is 102001111203149. The reversal of 102001111203113 is 311302111100201.

It can be written as a sum of positive squares in 8 ways, for example, as 52445593576489 + 49555517626624 = 7241933^2 + 7039568^2 .

It is not a de Polignac number, because 102001111203113 - 2¹⁸ = 102001110940969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102001111203091 and 102001111203100.

It is not an unprimeable number, because it can be changed into a prime (102301111203113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19979543 + ... + 24559811.

It is an arithmetic number, because the mean of its divisors is an integer number (6764250372345).

Almost surely, 2^{102001111203113} is an apocalyptic number.

It is an amenable number.

102001111203113 is a deficient number, since it is larger than the sum of its proper divisors (6226894754407).

102001111203113 is a wasteful number, since it uses less digits than its factorization.

102001111203113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4583036.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 102001111203113 its reverse (311302111100201), we get a palindrome (413303222303314).

The spelling of 102001111203113 in words is "one hundred two trillion, one billion, one hundred eleven million, two hundred three thousand, one hundred thirteen".