101110000001001 has 16 divisors (see below), whose sum is σ = 135349333371840. Its totient is φ = 67138876607040.

The previous prime is 101110000000969. The next prime is 101110000001057. The reversal of 101110000001001 is 100100000011101.

It is not a de Polignac number, because 101110000001001 - 2⁵ = 101110000000969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101110000002001) 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, 24317130 + ... + 28169891.

It is an arithmetic number, because the mean of its divisors is an integer number (8459333335740).

Almost surely, 2^{101110000001001} is an apocalyptic number.

It is an amenable number.

101110000001001 is a deficient number, since it is larger than the sum of its proper divisors (34239333370839).

101110000001001 is a wasteful number, since it uses less digits than its factorization.

101110000001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52489576.

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

Adding to 101110000001001 its reverse (100100000011101), we get a palindrome (201210000012102).

The spelling of 101110000001001 in words is "one hundred one trillion, one hundred ten billion, one thousand, one".