122100012001 has 16 divisors (see below), whose sum is σ = 136280313216. Its totient is φ = 108457200000.

The previous prime is 122100011947. The next prime is 122100012007. The reversal of 122100012001 is 100210001221.

It is a cyclic number.

It is not a de Polignac number, because 122100012001 - 2²¹ = 122097914849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122100012007) 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, 501220 + ... + 703861.

It is an arithmetic number, because the mean of its divisors is an integer number (8517519576).

Almost surely, 2^122100012001 is an apocalyptic number.

122100012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122100012001 is a deficient number, since it is larger than the sum of its proper divisors (14180301215).

122100012001 is a wasteful number, since it uses less digits than its factorization.

122100012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205304.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122100012001 its reverse (100210001221), we get a palindrome (222310013222).

The spelling of 122100012001 in words is "one hundred twenty-two billion, one hundred million, twelve thousand, one".