2120222112101 has 16 divisors (see below), whose sum is σ = 2246306899200. Its totient is φ = 1995608145600.

The previous prime is 2120222112083. The next prime is 2120222112103. The reversal of 2120222112101 is 1012112220212.

It is a cyclic number.

It is not a de Polignac number, because 2120222112101 - 2¹⁸ = 2120221849957 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2120222112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120222112103) 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, 3276431 + ... + 3869811.

It is an arithmetic number, because the mean of its divisors is an integer number (140394181200).

Almost surely, 2^{2120222112101} is an apocalyptic number.

It is an amenable number.

2120222112101 is a deficient number, since it is larger than the sum of its proper divisors (126084787099).

2120222112101 is a wasteful number, since it uses less digits than its factorization.

2120222112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594620.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2120222112101 its reverse (1012112220212), we get a palindrome (3132334332313).

The spelling of 2120222112101 in words is "two trillion, one hundred twenty billion, two hundred twenty-two million, one hundred twelve thousand, one hundred one".