122101011011111 has 32 divisors (see below), whose sum is σ = 141019979083776. Its totient is φ = 104695475040000.

The previous prime is 122101011011107. The next prime is 122101011011143. The reversal of 122101011011111 is 111110110101221.

It is a cyclic number.

It is not a de Polignac number, because 122101011011111 - 2² = 122101011011107 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 (122101011019111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19641806 + ... + 25099851.

It is an arithmetic number, because the mean of its divisors is an integer number (4406874346368).

Almost surely, 2^{122101011011111} is an apocalyptic number.

122101011011111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122101011011111 is a deficient number, since it is larger than the sum of its proper divisors (18918968072665).

122101011011111 is a wasteful number, since it uses less digits than its factorization.

122101011011111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44741903.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 122101011011111 its reverse (111110110101221), we get a palindrome (233211121112332).

The spelling of 122101011011111 in words is "one hundred twenty-two trillion, one hundred one billion, eleven million, eleven thousand, one hundred eleven".