10122222211001 has 8 divisors (see below), whose sum is σ = 10382731343208. Its totient is φ = 9862361920000.

The previous prime is 10122222210911. The next prime is 10122222211007. The reversal of 10122222211001 is 10011222222101.

It can be written as a sum of positive squares in 4 ways, for example, as 237008317225 + 9885213893776 = 486835^2 + 3144076^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10122222211001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122222211007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162178700 + ... + 162241101.

It is an arithmetic number, because the mean of its divisors is an integer number (1297841417901).

Almost surely, 2^{10122222211001} is an apocalyptic number.

It is an amenable number.

10122222211001 is a deficient number, since it is larger than the sum of its proper divisors (260509132207).

10122222211001 is an equidigital number, since it uses as much as digits as its factorization.

10122222211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324420603.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10122222211001 its reverse (10011222222101), we get a palindrome (20133444433102).

It can be divided in two parts, 1012222 and 2211001, that added together give a palindrome (3223223).

The spelling of 10122222211001 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred eleven thousand, one".