122101221000100 has 36 divisors (see below), whose sum is σ = 265001997044484. Its totient is φ = 48832682414080.

The previous prime is 122101221000047. The next prime is 122101221000113. The reversal of 122101221000100 is 1000122101221.

It can be written as a sum of positive squares in 6 ways, for example, as 469967833764 + 121631253166336 = 685542^2 + 11028656^2 .

It is a super-2 number, since 2×122101221000100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96945997 + ... + 98197396.

It is an arithmetic number, because the mean of its divisors is an integer number (7361166584569).

Almost surely, 2^{122101221000100} is an apocalyptic number.

122101221000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101221000100 is an abundant number, since it is smaller than the sum of its proper divisors (142900776044384).

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

122101221000100 is a wasteful number, since it uses less digits than its factorization.

122101221000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195149664 (or 195149657 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122101221000100 its reverse (1000122101221), we get a palindrome (123101343101321).

The spelling of 122101221000100 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred twenty-one million, one hundred", and thus it is an aban number.