10022211122101 has 16 divisors (see below), whose sum is σ = 10708462978560. Its totient is φ = 9359032253760.

The previous prime is 10022211122093. The next prime is 10022211122107. The reversal of 10022211122101 is 10122111222001.

It is a cyclic number.

It is not a de Polignac number, because 10022211122101 - 2³ = 10022211122093 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 (10022211122107) 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, 1686130 + ... + 4784083.

It is an arithmetic number, because the mean of its divisors is an integer number (669278936160).

Almost surely, 2^{10022211122101} is an apocalyptic number.

It is an amenable number.

10022211122101 is a deficient number, since it is larger than the sum of its proper divisors (686251856459).

10022211122101 is a wasteful number, since it uses less digits than its factorization.

10022211122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6471996.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10022211122101 its reverse (10122111222001), we get a palindrome (20144322344102).

The spelling of 10022211122101 in words is "ten trillion, twenty-two billion, two hundred eleven million, one hundred twenty-two thousand, one hundred one".