100113102213030 has 48 divisors (see below), whose sum is σ = 260949718405584. Its totient is φ = 26629580831040.

The previous prime is 100113102213013. The next prime is 100113102213031. The reversal of 100113102213030 is 30312201311001.

100113102213030 is a `hidden beast` number, since 10 + 0 + 1 + 131 + 0 + 221 + 303 + 0 = 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 = 100113102212994 and 100113102213012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113102213031) 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, 1400931276 + ... + 1401002735.

It is an arithmetic number, because the mean of its divisors is an integer number (5436452466783).

Almost surely, 2^{100113102213030} is an apocalyptic number.

100113102213030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100113102213030 is an abundant number, since it is smaller than the sum of its proper divisors (160836616192554).

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

100113102213030 is a wasteful number, since it uses less digits than its factorization.

100113102213030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801934421 (or 2801934418 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100113102213030 its reverse (30312201311001), we get a palindrome (130425303524031).

The spelling of 100113102213030 in words is "one hundred trillion, one hundred thirteen billion, one hundred two million, two hundred thirteen thousand, thirty".