10123132100 has 18 divisors (see below), whose sum is σ = 21967196874. Its totient is φ = 4049252800.

The previous prime is 10123132087. The next prime is 10123132121. The reversal of 10123132100 is 123132101.

10123132100 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 3 ways, for example, as 1506837124 + 8616294976 = 38818^2 + 92824^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50615561 + ... + 50615760.

Almost surely, 2^10123132100 is an apocalyptic number.

10123132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123132100 is an abundant number, since it is smaller than the sum of its proper divisors (11844064774).

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

10123132100 is a wasteful number, since it uses less digits than its factorization.

10123132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101231335 (or 101231328 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10123132100 its reverse (123132101), we get a palindrome (10246264201).

Subtracting from 10123132100 its reverse (123132101), we obtain a palindrome (9999999999).

It can be divided in two parts, 101231 and 32100, that added together give a palindrome (133331).

The spelling of 10123132100 in words is "ten billion, one hundred twenty-three million, one hundred thirty-two thousand, one hundred".