122121111102001 has 16 divisors (see below), whose sum is σ = 134543148042816. Its totient is φ = 109919111400000.

The previous prime is 122121111101989. The next prime is 122121111102007. The reversal of 122121111102001 is 100201111121221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122121111102001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122121111102007) 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, 166919371 + ... + 167649391.

It is an arithmetic number, because the mean of its divisors is an integer number (8408946752676).

Almost surely, 2^{122121111102001} is an apocalyptic number.

122121111102001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122121111102001 is a deficient number, since it is larger than the sum of its proper divisors (12422036940815).

122121111102001 is a wasteful number, since it uses less digits than its factorization.

122121111102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880704.

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

Adding to 122121111102001 its reverse (100201111121221), we get a palindrome (222322222223222).

The spelling of 122121111102001 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred eleven million, one hundred two thousand, one".