122122101020100 has 144 divisors (see below), whose sum is σ = 360761637402432. Its totient is φ = 31888811171840.

The previous prime is 122122101020063. The next prime is 122122101020123. The reversal of 122122101020100 is 1020101221221.

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 122122101020100.

It is an unprimeable number.

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, 18887637 + ... + 24515036.

It is an arithmetic number, because the mean of its divisors is an integer number (2505289148628).

Almost surely, 2^{122122101020100} is an apocalyptic number.

122122101020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122122101020100 is an abundant number, since it is smaller than the sum of its proper divisors (238639536382332).

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

122122101020100 is a wasteful number, since it uses less digits than its factorization.

122122101020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43402886 (or 43402879 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122122101020100 its reverse (1020101221221), we get a palindrome (123142202241321).

The spelling of 122122101020100 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred one million, twenty thousand, one hundred".