10100213303100 has 72 divisors (see below), whose sum is σ = 30942300534768. Its totient is φ = 2534955494400.

The previous prime is 10100213303099. The next prime is 10100213303107. The reversal of 10100213303100 is 130331200101.

It is a super-2 number, since 2×10100213303100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10100213303100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100213303107) 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, 990211891 + ... + 990222090.

It is an arithmetic number, because the mean of its divisors is an integer number (429754174094).

Almost surely, 2^{10100213303100} is an apocalyptic number.

10100213303100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100213303100 is an abundant number, since it is smaller than the sum of its proper divisors (20842087231668).

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

10100213303100 is a wasteful number, since it uses less digits than its factorization.

10100213303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980434015 (or 1980434008 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10100213303100 its reverse (130331200101), we get a palindrome (10230544503201).

The spelling of 10100213303100 in words is "ten trillion, one hundred billion, two hundred thirteen million, three hundred three thousand, one hundred".