122011111101 has 32 divisors (see below), whose sum is σ = 178545669120. Its totient is φ = 73498620800.

The previous prime is 122011111073. The next prime is 122011111141. The reversal of 122011111101 is 101111110221.

It is not a de Polignac number, because 122011111101 - 2⁹ = 122011110589 is a prime.

It is a super-2 number, since 2×122011111101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122011111141) 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, 18846001 + ... + 18852473.

It is an arithmetic number, because the mean of its divisors is an integer number (5579552160).

Almost surely, 2^122011111101 is an apocalyptic number.

122011111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122011111101 is a deficient number, since it is larger than the sum of its proper divisors (56534558019).

122011111101 is a wasteful number, since it uses less digits than its factorization.

122011111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9857.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 122011111101 its reverse (101111110221), we get a palindrome (223122221322).

The spelling of 122011111101 in words is "one hundred twenty-two billion, eleven million, one hundred eleven thousand, one hundred one".