122100211021221 has 32 divisors (see below), whose sum is σ = 181593732405120. Its totient is φ = 81083368611072.

The previous prime is 122100211021199. The next prime is 122100211021277. The reversal of 122100211021221 is 122120112001221.

122100211021221 is a `hidden beast` number, since 1 + 2 + 210 + 0 + 211 + 0 + 21 + 221 = 666.

It is not a de Polignac number, because 122100211021221 - 2⁵ = 122100211021189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122100211021194 and 122100211021203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100231021221) 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, 12773805 + ... + 20183421.

It is an arithmetic number, because the mean of its divisors is an integer number (5674804137660).

Almost surely, 2^{122100211021221} is an apocalyptic number.

It is an amenable number.

122100211021221 is a deficient number, since it is larger than the sum of its proper divisors (59493521383899).

122100211021221 is a wasteful number, since it uses less digits than its factorization.

122100211021221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7412002 (or 7411996 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122100211021221 its reverse (122120112001221), we get a palindrome (244220323022442).

The spelling of 122100211021221 in words is "one hundred twenty-two trillion, one hundred billion, two hundred eleven million, twenty-one thousand, two hundred twenty-one".