100500630477120 has 672 divisors, whose sum is σ = 365943727977984. Its totient is φ = 25263548006400.

The previous prime is 100500630477113. The next prime is 100500630477293. The reversal of 100500630477120 is 21774036005001.

It is a happy number.

100500630477120 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 0 + 0 + 63 + 0 + 477 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6581135085 + ... + 6581150355.

Almost surely, 2^{100500630477120} is an apocalyptic number.

100500630477120 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 100500630477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182971863988992).

100500630477120 is an abundant number, since it is smaller than the sum of its proper divisors (265443097500864).

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

100500630477120 is a wasteful number, since it uses less digits than its factorization.

100500630477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16751 (or 16738 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 100500630477120 in words is "one hundred trillion, five hundred billion, six hundred thirty million, four hundred seventy-seven thousand, one hundred twenty".