10122122000101 has 16 divisors (see below), whose sum is σ = 10217546938368. Its totient is φ = 10026988171200.

The previous prime is 10122122000071. The next prime is 10122122000117. The reversal of 10122122000101 is 10100022122101.

It is a cyclic number.

It is not a de Polignac number, because 10122122000101 - 2⁵ = 10122122000069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122122003101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170770396 + ... + 170829658.

It is an arithmetic number, because the mean of its divisors is an integer number (638596683648).

Almost surely, 2^{10122122000101} is an apocalyptic number.

It is an amenable number.

10122122000101 is a deficient number, since it is larger than the sum of its proper divisors (95424938267).

10122122000101 is a wasteful number, since it uses less digits than its factorization.

10122122000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61692.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10122122000101 its reverse (10100022122101), we get a palindrome (20222144122202).

It can be divided in two parts, 10122122000 and 101, that added together give a palindrome (10122122101).

The spelling of 10122122000101 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred one", and thus it is an aban number.