22102122101001 has 32 divisors (see below), whose sum is σ = 30125203371648. Its totient is φ = 14408755445760.

The previous prime is 22102122100979. The next prime is 22102122101047. The reversal of 22102122101001 is 10010122120122.

It is not a de Polignac number, because 22102122101001 - 2¹⁴ = 22102122084617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22102122101071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337213705 + ... + 337279241.

It is an arithmetic number, because the mean of its divisors is an integer number (941412605364).

Almost surely, 2^{22102122101001} is an apocalyptic number.

It is an amenable number.

22102122101001 is a deficient number, since it is larger than the sum of its proper divisors (8023081270647).

22102122101001 is a wasteful number, since it uses less digits than its factorization.

22102122101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72601.

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

Adding to 22102122101001 its reverse (10010122120122), we get a palindrome (32112244221123).

The spelling of 22102122101001 in words is "twenty-two trillion, one hundred two billion, one hundred twenty-two million, one hundred one thousand, one".