101022212101101 has 16 divisors (see below), whose sum is σ = 134730082120704. Its totient is φ = 67331243363904.

The previous prime is 101022212101009. The next prime is 101022212101127. The reversal of 101022212101101 is 101101212220101.

It is a happy number.

It is not a de Polignac number, because 101022212101101 - 2¹³ = 101022212092909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022212101001) 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, 262943595 + ... + 263327511.

It is an arithmetic number, because the mean of its divisors is an integer number (8420630132544).

Almost surely, 2^{101022212101101} is an apocalyptic number.

It is an amenable number.

101022212101101 is a deficient number, since it is larger than the sum of its proper divisors (33707870019603).

101022212101101 is a wasteful number, since it uses less digits than its factorization.

101022212101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405700.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101022212101101 its reverse (101101212220101), we get a palindrome (202123424321202).

The spelling of 101022212101101 in words is "one hundred one trillion, twenty-two billion, two hundred twelve million, one hundred one thousand, one hundred one".