122011011111100 has 144 divisors (see below), whose sum is σ = 274368439296000. Its totient is φ = 47046333369600.

The previous prime is 122011011111071. The next prime is 122011011111113. The reversal of 122011011111100 is 1111110110221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3389270901 + ... + 3389306899.

It is an arithmetic number, because the mean of its divisors is an integer number (1905336384000).

Almost surely, 2^{122011011111100} is an apocalyptic number.

122011011111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122011011111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137184219648000).

122011011111100 is an abundant number, since it is smaller than the sum of its proper divisors (152357428184900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122011011111100 is a wasteful number, since it uses less digits than its factorization.

122011011111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40268 (or 40261 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 122011011111100 its reverse (1111110110221), we get a palindrome (123122121221321).

The spelling of 122011011111100 in words is "one hundred twenty-two trillion, eleven billion, eleven million, one hundred eleven thousand, one hundred".