10101111011001 has 12 divisors (see below), whose sum is σ = 14688416460900. Its totient is φ = 6688878878880.

The previous prime is 10101111010981. The next prime is 10101111011003. The reversal of 10101111011001 is 10011011110101.

It can be written as a sum of positive squares in 2 ways, for example, as 6764935700601 + 3336175310400 = 2600949^2 + 1826520^2 .

It is not a de Polignac number, because 10101111011001 - 2¹⁹ = 10101110486713 is a prime.

It is a super-4 number, since 4×10101111011001⁴ (a number of 53 digits) contains 4444 as substring.

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 (10101111011003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3766259290 + ... + 3766261971.

It is an arithmetic number, because the mean of its divisors is an integer number (1224034705075).

Almost surely, 2^{10101111011001} is an apocalyptic number.

It is an amenable number.

10101111011001 is a deficient number, since it is larger than the sum of its proper divisors (4587305449899).

10101111011001 is a wasteful number, since it uses less digits than its factorization.

10101111011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7532521416 (or 7532521413 counting only the distinct ones).

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

Adding to 10101111011001 its reverse (10011011110101), we get a palindrome (20112122121102).

The spelling of 10101111011001 in words is "ten trillion, one hundred one billion, one hundred eleven million, eleven thousand, one".