122002212101100 has 72 divisors (see below), whose sum is σ = 353028727871568. Its totient is φ = 32530636512000.

The previous prime is 122002212101087. The next prime is 122002212101243. The reversal of 122002212101100 is 1101212200221.

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 122002212101100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17566719 + ... + 23507318.

It is an arithmetic number, because the mean of its divisors is an integer number (4903176775994).

Almost surely, 2^{122002212101100} is an apocalyptic number.

122002212101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122002212101100 is an abundant number, since it is smaller than the sum of its proper divisors (231026515770468).

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

122002212101100 is a wasteful number, since it uses less digits than its factorization.

122002212101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41083955 (or 41083948 counting only the distinct ones).

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

Adding to 122002212101100 its reverse (1101212200221), we get a palindrome (123103424301321).

The spelling of 122002212101100 in words is "one hundred twenty-two trillion, two billion, two hundred twelve million, one hundred one thousand, one hundred".