122021101121100 has 144 divisors (see below), whose sum is σ = 371793147465600. Its totient is φ = 30812782302720.

The previous prime is 122021101121071. The next prime is 122021101121107. The reversal of 122021101121100 is 1121101120221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122021101121100.

It is not an unprimeable number, because it can be changed into a prime (122021101121107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8200416 + ... + 17643384.

It is an arithmetic number, because the mean of its divisors is an integer number (2581896857400).

Almost surely, 2^{122021101121100} is an apocalyptic number.

122021101121100 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 122021101121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185896573732800).

122021101121100 is an abundant number, since it is smaller than the sum of its proper divisors (249772046344500).

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

122021101121100 is a wasteful number, since it uses less digits than its factorization.

122021101121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9445272 (or 9445265 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122021101121100 its reverse (1121101120221), we get a palindrome (123142202241321).

The spelling of 122021101121100 in words is "one hundred twenty-two trillion, twenty-one billion, one hundred one million, one hundred twenty-one thousand, one hundred".