100525511122001 has 16 divisors (see below), whose sum is σ = 115389578304000. Its totient is φ = 85787329333248.

The previous prime is 100525511121983. The next prime is 100525511122033. The reversal of 100525511122001 is 100221115525001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100525511122001 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100525511122081) 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, 15757400 + ... + 21197798.

It is an arithmetic number, because the mean of its divisors is an integer number (7211848644000).

Almost surely, 2^{100525511122001} is an apocalyptic number.

It is an amenable number.

100525511122001 is a deficient number, since it is larger than the sum of its proper divisors (14864067181999).

100525511122001 is a wasteful number, since it uses less digits than its factorization.

100525511122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5451968.

The product of its (nonzero) digits is 1000, while the sum is 26.

Adding to 100525511122001 its reverse (100221115525001), we get a palindrome (200746626647002).

The spelling of 100525511122001 in words is "one hundred trillion, five hundred twenty-five billion, five hundred eleven million, one hundred twenty-two thousand, one".