101310490800 has 720 divisors, whose sum is σ = 381482250240. Its totient is φ = 25787704320.

The previous prime is 101310490777. The next prime is 101310490909. The reversal of 101310490800 is 8094013101.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×101310490800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 357987459 + ... + 357987741.

Almost surely, 2^101310490800 is an apocalyptic number.

101310490800 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 101310490800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190741125120).

101310490800 is an abundant number, since it is smaller than the sum of its proper divisors (280171759440).

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

101310490800 is a wasteful number, since it uses less digits than its factorization.

101310490800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 101310490800 in words is "one hundred one billion, three hundred ten million, four hundred ninety thousand, eight hundred".