100110010112001 has 24 divisors (see below), whose sum is σ = 150728136812864. Its totient is φ = 63967025406240.

The previous prime is 100110010111999. The next prime is 100110010112009. The reversal of 100110010112001 is 100211010011001.

It is not a de Polignac number, because 100110010112001 - 2¹ = 100110010111999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100110010112009) 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, 2243490085 + ... + 2243534706.

Almost surely, 2^{100110010112001} is an apocalyptic number.

It is an amenable number.

100110010112001 is a deficient number, since it is larger than the sum of its proper divisors (50618126700863).

100110010112001 is a wasteful number, since it uses less digits than its factorization.

100110010112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487024901 (or 4487024898 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100110010112001 its reverse (100211010011001), we get a palindrome (200321020123002).

The spelling of 100110010112001 in words is "one hundred trillion, one hundred ten billion, ten million, one hundred twelve thousand, one".