101238512400 has 135 divisors (see below), whose sum is σ = 351392022709. Its totient is φ = 26991845760.

The previous prime is 101238512359. The next prime is 101238512449. The reversal of 101238512400 is 4215832101.

The square root of 101238512400 is 318180.

It is a perfect power (a square), and thus also a powerful number.

101238512400 is a `hidden beast` number, since 10 + 1 + 238 + 5 + 12 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36445864464 + 64792647936 = 190908^2 + 254544^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19088149 + ... + 19093451.

Almost surely, 2^101238512400 is an apocalyptic number.

101238512400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101238512400 is the 318180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101238512400

101238512400 is an abundant number, since it is smaller than the sum of its proper divisors (250153510309).

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

101238512400 is an frugal number, since it uses more digits than its factorization.

101238512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10630 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 101238512400 in words is "one hundred one billion, two hundred thirty-eight million, five hundred twelve thousand, four hundred".