100213843038120 has 384 divisors, whose sum is σ = 391831251552000. Its totient is φ = 21699459256320.

The previous prime is 100213843038109. The next prime is 100213843038143. The reversal of 100213843038120 is 21830348312001.

100213843038120 is a `hidden beast` number, since 1 + 0 + 0 + 213 + 8 + 43 + 0 + 381 + 20 = 666.

100213843038120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 1681946730 + ... + 1682006310.

It is an arithmetic number, because the mean of its divisors is an integer number (1020393884250).

Almost surely, 2^{100213843038120} is an apocalyptic number.

100213843038120 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 100213843038120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195915625776000).

100213843038120 is an abundant number, since it is smaller than the sum of its proper divisors (291617408513880).

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

100213843038120 is a wasteful number, since it uses less digits than its factorization.

100213843038120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94753 (or 94746 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 100213843038120 in words is "one hundred trillion, two hundred thirteen billion, eight hundred forty-three million, thirty-eight thousand, one hundred twenty".