101010111011001 has 6 divisors (see below), whose sum is σ = 145903493682570. Its totient is φ = 67340074007328.

The previous prime is 101010111010951. The next prime is 101010111011039. The reversal of 101010111011001 is 100110111010101.

It can be written as a sum of positive squares in only one way, i.e., 96277306410000 + 4732804601001 = 9812100^2 + 2175501^2 .

It is not a de Polignac number, because 101010111011001 - 2⁶ = 101010111010937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11223345667889 = 101010111011001 / (1 + 0 + 1 + 0 + 1 + 0 + 1 + 1 + 1 + 0 + 1 + 1 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (101010111011071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5611672833936 + ... + 5611672833953.

It is an arithmetic number, because the mean of its divisors is an integer number (24317248947095).

Almost surely, 2^{101010111011001} is an apocalyptic number.

It is an amenable number.

101010111011001 is a deficient number, since it is larger than the sum of its proper divisors (44893382671569).

101010111011001 is a wasteful number, since it uses less digits than its factorization.

101010111011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11223345667895 (or 11223345667892 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101010111011001 its reverse (100110111010101), we get a palindrome (201120222021102).

The spelling of 101010111011001 in words is "one hundred one trillion, ten billion, one hundred eleven million, eleven thousand, one".