100250052001 has 16 divisors (see below), whose sum is σ = 109587456000. Its totient is φ = 90950130000.

The previous prime is 100250051987. The next prime is 100250052029.

100250052001 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 100250052001 - 2¹⁹ = 100249527713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100250052401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14527650 + ... + 14534548.

It is an arithmetic number, because the mean of its divisors is an integer number (6849216000).

Almost surely, 2^100250052001 is an apocalyptic number.

100250052001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100250052001 is a deficient number, since it is larger than the sum of its proper divisors (9337403999).

100250052001 is a wasteful number, since it uses less digits than its factorization.

100250052001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9420.

The product of its (nonzero) digits is 100, while the sum is 16.

It can be divided in two parts, 1002500 and 52001, that added together give a palindrome (1054501).

The spelling of 100250052001 in words is "one hundred billion, two hundred fifty million, fifty-two thousand, one".