101314811929800 has 1536 divisors, whose sum is σ = 392419883520000. Its totient is φ = 21100314624000.

The previous prime is 101314811929789. The next prime is 101314811929819. The reversal of 101314811929800 is 8929118413101.

It is a super-2 number, since 2×101314811929800² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101314811929800.

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 383 ways as a sum of consecutive naturals, for example, 96582279676 + ... + 96582280724.

It is an arithmetic number, because the mean of its divisors is an integer number (255481695000).

Almost surely, 2^{101314811929800} is an apocalyptic number.

101314811929800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101314811929800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196209941760000).

101314811929800 is an abundant number, since it is smaller than the sum of its proper divisors (291105071590200).

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

101314811929800 is a wasteful number, since it uses less digits than its factorization.

101314811929800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 48.

The spelling of 101314811929800 in words is "one hundred one trillion, three hundred fourteen billion, eight hundred eleven million, nine hundred twenty-nine thousand, eight hundred".