100102233020013 has 48 divisors (see below), whose sum is σ = 165404786976000. Its totient is φ = 57147058725120.

The previous prime is 100102233020011. The next prime is 100102233020087. The reversal of 100102233020013 is 310020332201001.

100102233020013 is a `hidden beast` number, since 100 + 1 + 0 + 22 + 330 + 200 + 13 = 666.

It is not a de Polignac number, because 100102233020013 - 2¹ = 100102233020011 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102233020011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 798207088 + ... + 798332486.

It is an arithmetic number, because the mean of its divisors is an integer number (3445933062000).

Almost surely, 2^{100102233020013} is an apocalyptic number.

It is an amenable number.

100102233020013 is a deficient number, since it is larger than the sum of its proper divisors (65302553955987).

100102233020013 is a wasteful number, since it uses less digits than its factorization.

100102233020013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137322 (or 137319 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100102233020013 its reverse (310020332201001), we get a palindrome (410122565221014).

The spelling of 100102233020013 in words is "one hundred trillion, one hundred two billion, two hundred thirty-three million, twenty thousand, thirteen".