100077232147200 has 7776 divisors, whose sum is σ = 509107375042560. Its totient is φ = 19108970496000.

The previous prime is 100077232147163. The next prime is 100077232147289. The reversal of 100077232147200 is 2741232770001.

100077232147200 is a `hidden beast` number, since 10 + 0 + 0 + 77 + 232 + 147 + 200 = 666.

It is a super-2 number, since 2×100077232147200² (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 863 ways as a sum of consecutive naturals, for example, 730490745532 + ... + 730490745668.

Almost surely, 2^{100077232147200} is an apocalyptic number.

100077232147200 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 100077232147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254553687521280).

100077232147200 is an abundant number, since it is smaller than the sum of its proper divisors (409030142895360).

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

100077232147200 is a wasteful number, since it uses less digits than its factorization.

100077232147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 100077232147200 in words is "one hundred trillion, seventy-seven billion, two hundred thirty-two million, one hundred forty-seven thousand, two hundred".