10001102212001 has 8 divisors (see below), whose sum is σ = 10087341043464. Its totient is φ = 9915055237120.

The previous prime is 10001102211977. The next prime is 10001102212007. The reversal of 10001102212001 is 10021220110001.

It can be written as a sum of positive squares in 4 ways, for example, as 736505523601 + 9264596688400 = 858199^2 + 3043780^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10001102212001 - 2⁶ = 10001102211937 is a prime.

It is a super-3 number, since 3×10001102212001³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001102212007) 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, 47859440 + ... + 48067953.

It is an arithmetic number, because the mean of its divisors is an integer number (1260917630433).

Almost surely, 2^{10001102212001} is an apocalyptic number.

It is an amenable number.

10001102212001 is a deficient number, since it is larger than the sum of its proper divisors (86238831463).

10001102212001 is an equidigital number, since it uses as much as digits as its factorization.

10001102212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95928291.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10001102212001 its reverse (10021220110001), we get a palindrome (20022322322002).

The spelling of 10001102212001 in words is "ten trillion, one billion, one hundred two million, two hundred twelve thousand, one".