10021110011001 has 6 divisors (see below), whose sum is σ = 14474936682570. Its totient is φ = 6680740007328.

The previous prime is 10021110010931. The next prime is 10021110011021. The reversal of 10021110011001 is 10011001112001.

It can be written as a sum of positive squares in only one way, i.e., 9741739622976 + 279370388025 = 3121176^2 + 528555^2 .

It is not a de Polignac number, because 10021110011001 - 2²⁶ = 10021042902137 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: 1113456667889 = 10021110011001 / (1 + 0 + 0 + 2 + 1 + 1 + 1 + 0 + 0 + 1 + 1 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (10021110011021) 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 5 ways as a sum of consecutive naturals, for example, 556728333936 + ... + 556728333953.

It is an arithmetic number, because the mean of its divisors is an integer number (2412489447095).

Almost surely, 2^{10021110011001} is an apocalyptic number.

It is an amenable number.

10021110011001 is a deficient number, since it is larger than the sum of its proper divisors (4453826671569).

10021110011001 is a wasteful number, since it uses less digits than its factorization.

10021110011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113456667895 (or 1113456667892 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10021110011001 its reverse (10011001112001), we get a palindrome (20032111123002).

The spelling of 10021110011001 in words is "ten trillion, twenty-one billion, one hundred ten million, eleven thousand, one".