2010022112101 has 16 divisors (see below), whose sum is σ = 2184152947200. Its totient is φ = 1842730257600.

The previous prime is 2010022112071. The next prime is 2010022112129. The reversal of 2010022112101 is 1012112200102.

It is a cyclic number.

It is not a de Polignac number, because 2010022112101 - 2²³ = 2010013723493 is a prime.

It is a super-2 number, since 2×2010022112101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010022112191) 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, 19019715 + ... + 19125103.

It is an arithmetic number, because the mean of its divisors is an integer number (136509559200).

Almost surely, 2^{2010022112101} is an apocalyptic number.

It is an amenable number.

2010022112101 is a deficient number, since it is larger than the sum of its proper divisors (174130835099).

2010022112101 is a wasteful number, since it uses less digits than its factorization.

2010022112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137820.

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

Adding to 2010022112101 its reverse (1012112200102), we get a palindrome (3022134312203).

The spelling of 2010022112101 in words is "two trillion, ten billion, twenty-two million, one hundred twelve thousand, one hundred one".