10002122120001 has 12 divisors (see below), whose sum is σ = 14658757487696. Its totient is φ = 6061892193720.

The previous prime is 10002122119967. The next prime is 10002122120017.

10002122120001 is nontrivially palindromic in base 10.

10002122120001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10002122120001 - 2⁶ = 10002122119937 is a prime.

It is a super-3 number, since 3×10002122120001³ (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 (10002122120071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13777027351 + ... + 13777028076.

Almost surely, 2^{10002122120001} is an apocalyptic number.

10002122120001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10002122120001 is a deficient number, since it is larger than the sum of its proper divisors (4656635367695).

10002122120001 is a wasteful number, since it uses less digits than its factorization.

10002122120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27554055452 (or 27554055441 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 1000212 and 2120001, that added together give a palindrome (3120213).

The spelling of 10002122120001 in words is "ten trillion, two billion, one hundred twenty-two million, one hundred twenty thousand, one".