10100381875002 has 48 divisors (see below), whose sum is σ = 22079630005992. Its totient is φ = 3336801431040.

The previous prime is 10100381874997. The next prime is 10100381875009. The reversal of 10100381875002 is 20057818300101.

10100381875002 is a `hidden beast` number, since 1 + 0 + 100 + 38 + 18 + 7 + 500 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7132793391441 + 2967588483561 = 2670729^2 + 1722669^2 .

It is not an unprimeable number, because it can be changed into a prime (10100381875009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1797649 + ... + 4840692.

Almost surely, 2^{10100381875002} is an apocalyptic number.

10100381875002 is an abundant number, since it is smaller than the sum of its proper divisors (11979248130990).

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

10100381875002 is a wasteful number, since it uses less digits than its factorization.

10100381875002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6639103 (or 6639100 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 10100381875002 in words is "ten trillion, one hundred billion, three hundred eighty-one million, eight hundred seventy-five thousand, two".