10023100302100 has 36 divisors (see below), whose sum is σ = 21765564531900. Its totient is φ = 4006394613760.

The previous prime is 10023100302097. The next prime is 10023100302119. The reversal of 10023100302100 is 120300132001.

It can be written as a sum of positive squares in 6 ways, for example, as 1610675727376 + 8412424574724 = 1269124^2 + 2900418^2 .

It is a super-2 number, since 2×10023100302100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35427235 + ... + 35709034.

It is an arithmetic number, because the mean of its divisors is an integer number (604599014775).

Almost surely, 2^{10023100302100} is an apocalyptic number.

10023100302100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023100302100 is an abundant number, since it is smaller than the sum of its proper divisors (11742464229800).

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

10023100302100 is a wasteful number, since it uses less digits than its factorization.

10023100302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71137692 (or 71137685 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10023100302100 its reverse (120300132001), we get a palindrome (10143400434101).

The spelling of 10023100302100 in words is "ten trillion, twenty-three billion, one hundred million, three hundred two thousand, one hundred".