100245000542001 has 64 divisors (see below), whose sum is σ = 159217650493440. Its totient is φ = 54911300820480.

The previous prime is 100245000541991. The next prime is 100245000542017.

100245000542001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100245000542001 - 2¹⁹ = 100245000017713 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100245000542081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10605765 + ... + 17691021.

It is an arithmetic number, because the mean of its divisors is an integer number (2487775788960).

Almost surely, 2^{100245000542001} is an apocalyptic number.

It is an amenable number.

100245000542001 is a deficient number, since it is larger than the sum of its proper divisors (58972649951439).

100245000542001 is a wasteful number, since it uses less digits than its factorization.

100245000542001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7085574.

The product of its (nonzero) digits is 1600, while the sum is 24.

It can be divided in two parts, 100245000 and 542001, that added together give a palindrome (100787001).

The spelling of 100245000542001 in words is "one hundred trillion, two hundred forty-five billion, five hundred forty-two thousand, one".