122101022220101 has 8 divisors (see below), whose sum is σ = 123529354740120. Its totient is φ = 120680473529088.

The previous prime is 122101022220071. The next prime is 122101022220103. The reversal of 122101022220101 is 101022220101221.

It can be written as a sum of positive squares in 4 ways, for example, as 19154146137025 + 102946876083076 = 4376545^2 + 10146274^2 .

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 122101022220101 - 2¹⁴ = 122101022203717 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 122101022220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101022220103) 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, 1945925696 + ... + 1945988441.

It is an arithmetic number, because the mean of its divisors is an integer number (15441169342515).

Almost surely, 2^{122101022220101} is an apocalyptic number.

It is an amenable number.

122101022220101 is a deficient number, since it is larger than the sum of its proper divisors (1428332520019).

122101022220101 is a wasteful number, since it uses less digits than its factorization.

122101022220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3891914503.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122101022220101 its reverse (101022220101221), we get a palindrome (223123242321322).

The spelling of 122101022220101 in words is "one hundred twenty-two trillion, one hundred one billion, twenty-two million, two hundred twenty thousand, one hundred one".