101010111000001 has 32 divisors (see below), whose sum is σ = 121884019040000. Its totient is φ = 81774860090112.

The previous prime is 101010110999951. The next prime is 101010111000041. The reversal of 101010111000001 is 100000111010101.

It is a happy number.

It is not a de Polignac number, because 101010111000001 - 2¹¹ = 101010110997953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (101010111000041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288956815 + ... + 289306171.

It is an arithmetic number, because the mean of its divisors is an integer number (3808875595000).

Almost surely, 2^{101010111000001} is an apocalyptic number.

It is an amenable number.

101010111000001 is a deficient number, since it is larger than the sum of its proper divisors (20873908039999).

101010111000001 is a wasteful number, since it uses less digits than its factorization.

101010111000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355961.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101010111000001 its reverse (100000111010101), we get a palindrome (201010222010102).

The spelling of 101010111000001 in words is "one hundred one trillion, ten billion, one hundred eleven million, one", and thus it is an aban number.