100010111000001 has 32 divisors (see below), whose sum is σ = 137096320181760. Its totient is φ = 64802504991744.

The previous prime is 100010110999999. The next prime is 100010111000039. The reversal of 100010111000001 is 100000111010001.

It is not a de Polignac number, because 100010111000001 - 2¹ = 100010110999999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100010111002001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 739690461 + ... + 739825653.

It is an arithmetic number, because the mean of its divisors is an integer number (4284260005680).

Almost surely, 2^{100010111000001} is an apocalyptic number.

It is an amenable number.

100010111000001 is a deficient number, since it is larger than the sum of its proper divisors (37086209181759).

100010111000001 is a wasteful number, since it uses less digits than its factorization.

100010111000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142265.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100010111000001 its reverse (100000111010001), we get a palindrome (200010222010002).

The spelling of 100010111000001 in words is "one hundred trillion, ten billion, one hundred eleven million, one", and thus it is an aban number.