122101122011 has 16 divisors (see below), whose sum is σ = 139198929408. Its totient is φ = 106112781600.

The previous prime is 122101121971. The next prime is 122101122019. The reversal of 122101122011 is 110221101221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122101122011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122101122019) 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, 2723960 + ... + 2768421.

It is an arithmetic number, because the mean of its divisors is an integer number (8699933088).

Almost surely, 2^122101122011 is an apocalyptic number.

122101122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122101122011 is a deficient number, since it is larger than the sum of its proper divisors (17097807397).

122101122011 is a wasteful number, since it uses less digits than its factorization.

122101122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5492482.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122101122011 its reverse (110221101221), we get a palindrome (232322223232).

The spelling of 122101122011 in words is "one hundred twenty-two billion, one hundred one million, one hundred twenty-two thousand, eleven".