10100227888800 has 1152 divisors, whose sum is σ = 42547476787200. Its totient is φ = 2264565288960.

The previous prime is 10100227888799. The next prime is 10100227888801. The reversal of 10100227888800 is 888872200101.

It is an interprime number because it is at equal distance from previous prime (10100227888799) and next prime (10100227888801).

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

It is not an unprimeable number, because it can be changed into a prime (10100227888801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5468449477 + ... + 5468451323.

It is an arithmetic number, because the mean of its divisors is an integer number (36933573600).

Almost surely, 2^{10100227888800} is an apocalyptic number.

10100227888800 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 10100227888800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21273738393600).

10100227888800 is an abundant number, since it is smaller than the sum of its proper divisors (32447248898400).

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

10100227888800 is a wasteful number, since it uses less digits than its factorization.

10100227888800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 10100227888800 in words is "ten trillion, one hundred billion, two hundred twenty-seven million, eight hundred eighty-eight thousand, eight hundred".