121220122020001 has 9 divisors (see below), whose sum is σ = 121530613663161. Its totient is φ = 120910421701872.

The previous prime is 121220122019987. The next prime is 121220122020077. The reversal of 121220122020001 is 100020221022121.

It is a happy number.

The square root of 121220122020001 is 11010001.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2371750922401 + 118848371097600 = 1540049^2 + 10901760^2 .

It is not a de Polignac number, because 121220122020001 - 2⁷ = 121220122019873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121220122030001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4370956531 + ... + 4370984263.

It is an arithmetic number, because the mean of its divisors is an integer number (13503401518129).

Almost surely, 2^{121220122020001} is an apocalyptic number.

121220122020001 is the 11010001-st square number.

121220122020001 is the 5505001-st centered octagonal number.

It is an amenable number.

121220122020001 is a deficient number, since it is larger than the sum of its proper divisors (310491643160).

121220122020001 is an frugal number, since it uses more digits than its factorization.

121220122020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56260 (or 28130 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 121220122020001 its reverse (100020221022121), we get a palindrome (221240343042122).

It can be divided in two parts, 121220 and 122020001, that added together give a palindrome (122141221).

The spelling of 121220122020001 in words is "one hundred twenty-one trillion, two hundred twenty billion, one hundred twenty-two million, twenty thousand, one".