122100001221 has 32 divisors (see below), whose sum is σ = 193129446528. Its totient is φ = 67764695040.

The previous prime is 122100001157. The next prime is 122100001223.

122100001221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122100001221 - 2⁶ = 122100001157 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122100001197 and 122100001206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100001223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2920420 + ... + 2961933.

It is an arithmetic number, because the mean of its divisors is an integer number (6035295204).

Almost surely, 2^122100001221 is an apocalyptic number.

122100001221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122100001221 is a deficient number, since it is larger than the sum of its proper divisors (71029445307).

122100001221 is a wasteful number, since it uses less digits than its factorization.

122100001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882421.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 12210000 and 1221, that multiplied together give a square (14908410000 = 122100²).

The spelling of 122100001221 in words is "one hundred twenty-two billion, one hundred million, one thousand, two hundred twenty-one".