101223129610800 has 300 divisors, whose sum is σ = 375808647622320. Its totient is φ = 26062046922240.

The previous prime is 101223129610789. The next prime is 101223129610871. The reversal of 101223129610800 is 8016921322101.

101223129610800 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 2 + 31 + 2 + 9 + 610 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×101223129610800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 52925412 + ... + 54804611.

Almost surely, 2^{101223129610800} is an apocalyptic number.

101223129610800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101223129610800 is an abundant number, since it is smaller than the sum of its proper divisors (274585518011520).

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

101223129610800 is a wasteful number, since it uses less digits than its factorization.

101223129610800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107730082 (or 107730062 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 101223129610800 in words is "one hundred one trillion, two hundred twenty-three billion, one hundred twenty-nine million, six hundred ten thousand, eight hundred".