122202212112100 has 72 divisors (see below), whose sum is σ = 266628295808000. Its totient is φ = 48613912300800.

The previous prime is 122202212112053. The next prime is 122202212112109. The reversal of 122202212112100 is 1211212202221.

It is not an unprimeable number, because it can be changed into a prime (122202212112109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44045821 + ... + 46737979.

Almost surely, 2^{122202212112100} is an apocalyptic number.

122202212112100 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 122202212112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133314147904000).

122202212112100 is an abundant number, since it is smaller than the sum of its proper divisors (144426083695900).

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

122202212112100 is a wasteful number, since it uses less digits than its factorization.

122202212112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694653 (or 2694646 counting only the distinct ones).

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

Adding to 122202212112100 its reverse (1211212202221), we get a palindrome (123413424314321).

The spelling of 122202212112100 in words is "one hundred twenty-two trillion, two hundred two billion, two hundred twelve million, one hundred twelve thousand, one hundred".