10022122120101 has 64 divisors (see below), whose sum is σ = 16633303142400. Its totient is φ = 5226383264256.

The previous prime is 10022122120093. The next prime is 10022122120123. The reversal of 10022122120101 is 10102122122001.

10022122120101 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 10022122120101 - 2³ = 10022122120093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022122120301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 268390290 + ... + 268427628.

It is an arithmetic number, because the mean of its divisors is an integer number (259895361600).

Almost surely, 2^{10022122120101} is an apocalyptic number.

It is an amenable number.

10022122120101 is a deficient number, since it is larger than the sum of its proper divisors (6611181022299).

10022122120101 is a wasteful number, since it uses less digits than its factorization.

10022122120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48498.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10022122120101 its reverse (10102122122001), we get a palindrome (20124244242102).

The spelling of 10022122120101 in words is "ten trillion, twenty-two billion, one hundred twenty-two million, one hundred twenty thousand, one hundred one".