122100211120001 has 2 divisors, whose sum is σ = 122100211120002. Its totient is φ = 122100211120000.

The previous prime is 122100211119979. The next prime is 122100211120009. The reversal of 122100211120001 is 100021112001221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122042395398400 + 57815721601 = 11047280^2 + 240449^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100211120001 - 2⁶ = 122100211119937 is a prime.

It is not a weakly prime, because it can be changed into another prime (122100211120009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050105560000 + 61050105560001.

It is an arithmetic number, because the mean of its divisors is an integer number (61050105560001).

Almost surely, 2^{122100211120001} is an apocalyptic number.

It is an amenable number.

122100211120001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100211120001 is an equidigital number, since it uses as much as digits as its factorization.

122100211120001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122100211120001 its reverse (100021112001221), we get a palindrome (222121323121222).

The spelling of 122100211120001 in words is "one hundred twenty-two trillion, one hundred billion, two hundred eleven million, one hundred twenty thousand, one".