22001101122101 has 2 divisors, whose sum is σ = 22001101122102. Its totient is φ = 22001101122100.

The previous prime is 22001101122059. The next prime is 22001101122151. The reversal of 22001101122101 is 10122110110022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19582625151076 + 2418475971025 = 4425226^2 + 1555145^2 .

It is a cyclic number.

It is not a de Polignac number, because 22001101122101 - 2¹⁴ = 22001101105717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22001101122151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11000550561050 + 11000550561051.

It is an arithmetic number, because the mean of its divisors is an integer number (11000550561051).

Almost surely, 2^{22001101122101} is an apocalyptic number.

It is an amenable number.

22001101122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22001101122101 is an equidigital number, since it uses as much as digits as its factorization.

22001101122101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22001101122101 its reverse (10122110110022), we get a palindrome (32123211232123).

The spelling of 22001101122101 in words is "twenty-two trillion, one billion, one hundred one million, one hundred twenty-two thousand, one hundred one".