10203023122100 has 36 divisors (see below), whose sum is σ = 22180309955244. Its totient is φ = 4073882100480.

The previous prime is 10203023122099. The next prime is 10203023122129. The reversal of 10203023122100 is 122132030201.

10203023122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4004377196836 + 6198645925264 = 2001094^2 + 2489708^2 .

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, 91533377 + ... + 91644776.

It is an arithmetic number, because the mean of its divisors is an integer number (616119720979).

Almost surely, 2^{10203023122100} is an apocalyptic number.

10203023122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10203023122100 is an abundant number, since it is smaller than the sum of its proper divisors (11977286833144).

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

10203023122100 is a wasteful number, since it uses less digits than its factorization.

10203023122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183178724 (or 183178717 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10203023122100 its reverse (122132030201), we get a palindrome (10325155152301).

The spelling of 10203023122100 in words is "ten trillion, two hundred three billion, twenty-three million, one hundred twenty-two thousand, one hundred".