10122120111001 has 8 divisors (see below), whose sum is σ = 10136860705280. Its totient is φ = 10107389497968.

The previous prime is 10122120110981. The next prime is 10122120111017. The reversal of 10122120111001 is 10011102122101.

It is a happy number.

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 10122120111001 - 2¹⁵ = 10122120078233 is a prime.

It is a super-2 number, since 2×10122120111001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122120181001) 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, 464406 + ... + 4523263.

It is an arithmetic number, because the mean of its divisors is an integer number (1267107588160).

Almost surely, 2^{10122120111001} is an apocalyptic number.

It is an amenable number.

10122120111001 is a deficient number, since it is larger than the sum of its proper divisors (14740594279).

10122120111001 is a wasteful number, since it uses less digits than its factorization.

10122120111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990623.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10122120111001 its reverse (10011102122101), we get a palindrome (20133222233102).

The spelling of 10122120111001 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty million, one hundred eleven thousand, one".