101212210200200 has 192 divisors, whose sum is σ = 270573704942400. Its totient is φ = 34864842521600.

The previous prime is 101212210200181. The next prime is 101212210200203. The reversal of 101212210200200 is 2002012212101.

It is a super-2 number, since 2×101212210200200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101212210200203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11584622 + ... + 18347421.

It is an arithmetic number, because the mean of its divisors is an integer number (1409238046575).

Almost surely, 2^{101212210200200} is an apocalyptic number.

101212210200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212210200200 is an abundant number, since it is smaller than the sum of its proper divisors (169361494742200).

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

101212210200200 is a wasteful number, since it uses less digits than its factorization.

101212210200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29932152 (or 29932143 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101212210200200 its reverse (2002012212101), we get a palindrome (103214222412301).

The spelling of 101212210200200 in words is "one hundred one trillion, two hundred twelve billion, two hundred ten million, two hundred thousand, two hundred".