122101201301311 has 8 divisors (see below), whose sum is σ = 126231705521504. Its totient is φ = 118014406120800.

The previous prime is 122101201301291. The next prime is 122101201301333. The reversal of 122101201301311 is 113103102101221.

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 122101201301311 - 2¹³ = 122101201293119 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101204301311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10927254240 + ... + 10927265413.

It is an arithmetic number, because the mean of its divisors is an integer number (15778963190188).

Almost surely, 2^{122101201301311} is an apocalyptic number.

122101201301311 is a deficient number, since it is larger than the sum of its proper divisors (4130504220193).

122101201301311 is a wasteful number, since it uses less digits than its factorization.

122101201301311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21854519841.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 122101201301311 its reverse (113103102101221), we get a palindrome (235204303402532).

The spelling of 122101201301311 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred one million, three hundred one thousand, three hundred eleven".