122101121000011 has 8 divisors (see below), whose sum is σ = 126366880046400. Its totient is φ = 117839053657920.

The previous prime is 122101121000009. The next prime is 122101121000071. The reversal of 122101121000011 is 110000121101221.

It is a happy number.

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 122101121000011 - 2¹ = 122101121000009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122101120999955 and 122101121000000.

It is not an unprimeable number, because it can be changed into a prime (122101121000071) 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, 922858771 + ... + 922991068.

It is an arithmetic number, because the mean of its divisors is an integer number (15795860005800).

Almost surely, 2^{122101121000011} is an apocalyptic number.

122101121000011 is a deficient number, since it is larger than the sum of its proper divisors (4265759046389).

122101121000011 is a wasteful number, since it uses less digits than its factorization.

122101121000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845852149.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 122101121000011 its reverse (110000121101221), we get a palindrome (232101242101232).

The spelling of 122101121000011 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred twenty-one million, eleven", and thus it is an aban number.