122101122001 has 4 divisors (see below), whose sum is σ = 126039867904. Its totient is φ = 118162376100.

The previous prime is 122101121971. The next prime is 122101122019. The reversal of 122101122001 is 100221101221.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 100221101221 = 89 ⋅1126079789.

It is a cyclic number.

It is not a de Polignac number, because 122101122001 - 2⁵ = 122101121969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122101822001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1969372905 + ... + 1969372966.

It is an arithmetic number, because the mean of its divisors is an integer number (31509966976).

Almost surely, 2^122101122001 is an apocalyptic number.

It is an amenable number.

122101122001 is a deficient number, since it is larger than the sum of its proper divisors (3938745903).

122101122001 is an equidigital number, since it uses as much as digits as its factorization.

122101122001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3938745902.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122101122001 its reverse (100221101221), we get a palindrome (222322223222).

The spelling of 122101122001 in words is "one hundred twenty-two billion, one hundred one million, one hundred twenty-two thousand, one".