22101000000001 has 48 divisors (see below), whose sum is σ = 25128660049920. Its totient is φ = 19403489926080.

The previous prime is 22100999999999. The next prime is 22101000000019. The reversal of 22101000000001 is 10000000010122.

It is not a de Polignac number, because 22101000000001 - 2¹ = 22100999999999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22101000000301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2071898670 + ... + 2071909336.

It is an arithmetic number, because the mean of its divisors is an integer number (523513751040).

Almost surely, 2^{22101000000001} is an apocalyptic number.

It is an amenable number.

22101000000001 is a deficient number, since it is larger than the sum of its proper divisors (3027660049919).

22101000000001 is a wasteful number, since it uses less digits than its factorization.

22101000000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17486 (or 17473 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 22101000000001 its reverse (10000000010122), we get a palindrome (32101000010123).

The spelling of 22101000000001 in words is "twenty-two trillion, one hundred one billion, one", and thus it is an aban number.