122000011001101 has 16 divisors (see below), whose sum is σ = 123296226300720. Its totient is φ = 120705558220800.

The previous prime is 122000011001081. The next prime is 122000011001227. The reversal of 122000011001101 is 101100110000221.

It can be written as a sum of positive squares in 8 ways, for example, as 52891947109225 + 69108063891876 = 7272685^2 + 8313126^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122000011001101 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 (122000011301101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810076915 + ... + 810227503.

It is an arithmetic number, because the mean of its divisors is an integer number (7706014143795).

Almost surely, 2^{122000011001101} is an apocalyptic number.

It is an amenable number.

122000011001101 is a deficient number, since it is larger than the sum of its proper divisors (1296215299619).

122000011001101 is a wasteful number, since it uses less digits than its factorization.

122000011001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156384.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 122000011001101 its reverse (101100110000221), we get a palindrome (223100121001322).

The spelling of 122000011001101 in words is "one hundred twenty-two trillion, eleven million, one thousand, one hundred one".