10123332010100 has 72 divisors (see below), whose sum is σ = 23869751404800. Its totient is φ = 3712461292800.

The previous prime is 10123332010087. The next prime is 10123332010111. The reversal of 10123332010100 is 101023332101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85877705 + ... + 85995504.

Almost surely, 2^{10123332010100} is an apocalyptic number.

10123332010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123332010100 is an abundant number, since it is smaller than the sum of its proper divisors (13746419394700).

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

10123332010100 is a wasteful number, since it uses less digits than its factorization.

10123332010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171873273 (or 171873266 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10123332010100 its reverse (101023332101), we get a palindrome (10224355342201).

The spelling of 10123332010100 in words is "ten trillion, one hundred twenty-three billion, three hundred thirty-two million, ten thousand, one hundred".