101274371452800 has 4608 divisors, whose sum is σ = 488895827414400. Its totient is φ = 20266470604800.

The previous prime is 101274371452717. The next prime is 101274371452823. The reversal of 101274371452800 is 8254173472101.

It is a happy number.

101274371452800 is a `hidden beast` number, since 1 + 0 + 1 + 274 + 371 + 4 + 5 + 2 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 83490824994 + ... + 83490826206.

Almost surely, 2^{101274371452800} is an apocalyptic number.

101274371452800 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 101274371452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244447913707200).

101274371452800 is an abundant number, since it is smaller than the sum of its proper divisors (387621455961600).

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

101274371452800 is a wasteful number, since it uses less digits than its factorization.

101274371452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 101274371452800 in words is "one hundred one trillion, two hundred seventy-four billion, three hundred seventy-one million, four hundred fifty-two thousand, eight hundred".