122022121101100 has 72 divisors (see below), whose sum is σ = 288968117856768. Its totient is φ = 44355017044800.

The previous prime is 122022121101053. The next prime is 122022121101103. The reversal of 122022121101100 is 1101121220221.

It is not an unprimeable number, because it can be changed into a prime (122022121101103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17898564 + ... + 23757163.

It is an arithmetic number, because the mean of its divisors is an integer number (4013446081344).

Almost surely, 2^{122022121101100} is an apocalyptic number.

122022121101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122022121101100 is an abundant number, since it is smaller than the sum of its proper divisors (166945996755668).

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

122022121101100 is a wasteful number, since it uses less digits than its factorization.

122022121101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41658415 (or 41658408 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122022121101100 its reverse (1101121220221), we get a palindrome (123123242321321).

The spelling of 122022121101100 in words is "one hundred twenty-two trillion, twenty-two billion, one hundred twenty-one million, one hundred one thousand, one hundred".