10042100100099 has 8 divisors (see below), whose sum is σ = 14877185333520. Its totient is φ = 6694733400048.

The previous prime is 10042100100089. The next prime is 10042100100119. The reversal of 10042100100099 is 99000100124001.

It is not a de Polignac number, because 10042100100099 - 2¹⁹ = 10042099575811 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 371929633337 = 10042100100099 / (1 + 0 + 0 + 4 + 2 + 1 + 0 + 0 + 1 + 0 + 0 + 0 + 9 + 9).

It is not an unprimeable number, because it can be changed into a prime (10042100100049) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 185964816642 + ... + 185964816695.

It is an arithmetic number, because the mean of its divisors is an integer number (1859648166690).

Almost surely, 2^{10042100100099} is an apocalyptic number.

10042100100099 is a deficient number, since it is larger than the sum of its proper divisors (4835085233421).

10042100100099 is an equidigital number, since it uses as much as digits as its factorization.

10042100100099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371929633346 (or 371929633340 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 10042100100099 in words is "ten trillion, forty-two billion, one hundred million, one hundred thousand, ninety-nine".