10101011111001 has 12 divisors (see below), whose sum is σ = 14670959050020. Its totient is φ = 6696802945440.

The previous prime is 10101011110999. The next prime is 10101011111021. The reversal of 10101011111001 is 10011111010101.

It can be written as a sum of positive squares in 2 ways, for example, as 2553348326400 + 7547662784601 = 1597920^2 + 2747301^2 .

It is not a de Polignac number, because 10101011111001 - 2¹ = 10101011110999 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10101011111021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3100370106 + ... + 3100373363.

It is an arithmetic number, because the mean of its divisors is an integer number (1222579920835).

Almost surely, 2^{10101011111001} is an apocalyptic number.

It is an amenable number.

10101011111001 is a deficient number, since it is larger than the sum of its proper divisors (4569947939019).

10101011111001 is a wasteful number, since it uses less digits than its factorization.

10101011111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6200743656 (or 6200743653 counting only the distinct ones).

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

Adding to 10101011111001 its reverse (10011111010101), we get a palindrome (20112122121102).

The spelling of 10101011111001 in words is "ten trillion, one hundred one billion, eleven million, one hundred eleven thousand, one".