12210000011001 has 24 divisors (see below), whose sum is σ = 18993945229896. Its totient is φ = 7513604098560.

The previous prime is 12210000010969. The next prime is 12210000011009. The reversal of 12210000011001 is 10011000001221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8300189810025 + 3909810200976 = 2881005^2 + 1977324^2 .

It is not a de Polignac number, because 12210000011001 - 2⁵ = 12210000010969 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 (12210000011009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2000641 + ... + 5331281.

It is an arithmetic number, because the mean of its divisors is an integer number (791414384579).

Almost surely, 2^{12210000011001} is an apocalyptic number.

It is an amenable number.

12210000011001 is a deficient number, since it is larger than the sum of its proper divisors (6783945218895).

12210000011001 is a wasteful number, since it uses less digits than its factorization.

12210000011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361993 (or 3361990 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12210000011001 its reverse (10011000001221), we get a palindrome (22221000012222).

The spelling of 12210000011001 in words is "twelve trillion, two hundred ten billion, eleven thousand, one".