100013223102030 has 96 divisors (see below), whose sum is σ = 297201869572608. Its totient is φ = 22858648286400.

The previous prime is 100013223101989. The next prime is 100013223102073. The reversal of 100013223102030 is 30201322310001.

100013223102030 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 322 + 310 + 2 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100013223101994 and 100013223102012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4247535 + ... + 14767125.

It is an arithmetic number, because the mean of its divisors is an integer number (3095852808048).

Almost surely, 2^{100013223102030} is an apocalyptic number.

100013223102030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100013223102030 is an abundant number, since it is smaller than the sum of its proper divisors (197188646470578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100013223102030 is a wasteful number, since it uses less digits than its factorization.

100013223102030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10534702 (or 10534699 counting only the distinct ones).

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

Adding to 100013223102030 its reverse (30201322310001), we get a palindrome (130214545412031).

The spelling of 100013223102030 in words is "one hundred trillion, thirteen billion, two hundred twenty-three million, one hundred two thousand, thirty".