122121101021201 has 8 divisors (see below), whose sum is σ = 123363620404200. Its totient is φ = 120880802407680.

The previous prime is 122121101021113. The next prime is 122121101021233. The reversal of 122121101021201 is 102120101121221.

It can be written as a sum of positive squares in 4 ways, for example, as 11067757926976 + 111053343094225 = 3326824^2 + 10538185^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122121101021201 - 2¹⁴ = 122121101004817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122121101021201.

It is not an unprimeable number, because it can be changed into a prime (122121101021251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 555081830 + ... + 555301791.

It is an arithmetic number, because the mean of its divisors is an integer number (15420452550525).

Almost surely, 2^{122121101021201} is an apocalyptic number.

It is an amenable number.

122121101021201 is a deficient number, since it is larger than the sum of its proper divisors (1242519382999).

122121101021201 is a wasteful number, since it uses less digits than its factorization.

122121101021201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110384739.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 122121101021201 its reverse (102120101121221), we get a palindrome (224241202142422).

The spelling of 122121101021201 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred one million, twenty-one thousand, two hundred one".