122101111210001 has 48 divisors (see below), whose sum is σ = 155945142380160. Its totient is φ = 94532161086720.

The previous prime is 122101111209953. The next prime is 122101111210003. The reversal of 122101111210001 is 100012111101221.

It is not a de Polignac number, because 122101111210001 - 2¹⁰ = 122101111208977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122101111210003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203940581 + ... + 204538413.

It is an arithmetic number, because the mean of its divisors is an integer number (3248857132920).

Almost surely, 2^{122101111210001} is an apocalyptic number.

122101111210001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122101111210001 is a deficient number, since it is larger than the sum of its proper divisors (33844031170159).

122101111210001 is a wasteful number, since it uses less digits than its factorization.

122101111210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600294 (or 600287 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 122101111210001 its reverse (100012111101221), we get a palindrome (222113222311222).

The spelling of 122101111210001 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred eleven million, two hundred ten thousand, one".