101212102022200 has 192 divisors, whose sum is σ = 259910142811200. Its totient is φ = 36415656038400.

The previous prime is 101212102022153. The next prime is 101212102022267. The reversal of 101212102022200 is 2220201212101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88871574 + ... + 90003226.

It is an arithmetic number, because the mean of its divisors is an integer number (1353698660475).

Almost surely, 2^{101212102022200} is an apocalyptic number.

101212102022200 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 101212102022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129955071405600).

101212102022200 is an abundant number, since it is smaller than the sum of its proper divisors (158698040789000).

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

101212102022200 is a wasteful number, since it uses less digits than its factorization.

101212102022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132562 (or 1132553 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101212102022200 its reverse (2220201212101), we get a palindrome (103432303234301).

The spelling of 101212102022200 in words is "one hundred one trillion, two hundred twelve billion, one hundred two million, twenty-two thousand, two hundred".