122121311001 has 16 divisors (see below), whose sum is σ = 171307949568. Its totient is φ = 77281776000.

The previous prime is 122121310973. The next prime is 122121311009. The reversal of 122121311001 is 100113121221.

It is not a de Polignac number, because 122121311001 - 2²² = 122117116697 is a prime.

It is a super-2 number, since 2×122121311001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122121311009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13412425 + ... + 13421526.

It is an arithmetic number, because the mean of its divisors is an integer number (10706746848).

Almost surely, 2^122121311001 is an apocalyptic number.

It is an amenable number.

122121311001 is a deficient number, since it is larger than the sum of its proper divisors (49186638567).

122121311001 is a wasteful number, since it uses less digits than its factorization.

122121311001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26834032.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 122121311001 its reverse (100113121221), we get a palindrome (222234432222).

The spelling of 122121311001 in words is "one hundred twenty-two billion, one hundred twenty-one million, three hundred eleven thousand, one".