122121202221100 has 72 divisors (see below), whose sum is σ = 266454776302848. Its totient is φ = 48580997491200.

The previous prime is 122121202221091. The next prime is 122121202221127. The reversal of 122121202221100 is 1122202121221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78552522 + ... + 80092078.

It is an arithmetic number, because the mean of its divisors is an integer number (3700760781984).

Almost surely, 2^{122121202221100} is an apocalyptic number.

122121202221100 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 122121202221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133227388151424).

122121202221100 is an abundant number, since it is smaller than the sum of its proper divisors (144333574081748).

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

122121202221100 is a wasteful number, since it uses less digits than its factorization.

122121202221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543915 (or 1543908 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122121202221100 its reverse (1122202121221), we get a palindrome (123243404342321).

The spelling of 122121202221100 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, two hundred two million, two hundred twenty-one thousand, one hundred".