22101212121001 has 24 divisors (see below), whose sum is σ = 25224170632584. Its totient is φ = 19247178216960.

The previous prime is 22101212120969. The next prime is 22101212121061. The reversal of 22101212121001 is 10012121210122.

It can be written as a sum of positive squares in 4 ways, for example, as 942831290025 + 21158380830976 = 970995^2 + 4599824^2 .

It is not a de Polignac number, because 22101212121001 - 2⁵ = 22101212120969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22101212121061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8639526 + ... + 10901551.

It is an arithmetic number, because the mean of its divisors is an integer number (1051007109691).

Almost surely, 2^{22101212121001} is an apocalyptic number.

It is an amenable number.

22101212121001 is a deficient number, since it is larger than the sum of its proper divisors (3122958511583).

22101212121001 is a wasteful number, since it uses less digits than its factorization.

22101212121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19541369 (or 19541350 counting only the distinct ones).

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

Adding to 22101212121001 its reverse (10012121210122), we get a palindrome (32113333331123).

The spelling of 22101212121001 in words is "twenty-two trillion, one hundred one billion, two hundred twelve million, one hundred twenty-one thousand, one".