122222120020100 has 18 divisors (see below), whose sum is σ = 265222000443834. Its totient is φ = 48888848008000.

The previous prime is 122222120020081. The next prime is 122222120020109. The reversal of 122222120020100 is 1020021222221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 26022078201856 + 96200041818244 = 5101184^2 + 9808162^2 .

It is not an unprimeable number, because it can be changed into a prime (122222120020109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 611110600001 + ... + 611110600200.

It is an arithmetic number, because the mean of its divisors is an integer number (14734555580213).

Almost surely, 2^{122222120020100} is an apocalyptic number.

122222120020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122222120020100 is an abundant number, since it is smaller than the sum of its proper divisors (142999880423734).

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

122222120020100 is a wasteful number, since it uses less digits than its factorization.

122222120020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222221200215 (or 1222221200208 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 122222120020100 its reverse (1020021222221), we get a palindrome (123242141242321).

The spelling of 122222120020100 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, one hundred twenty million, twenty thousand, one hundred".