101001222120200 has 96 divisors (see below), whose sum is σ = 249634600488000. Its totient is φ = 37895195232000.

The previous prime is 101001222120193. The next prime is 101001222120209. The reversal of 101001222120200 is 2021222100101.

It is not an unprimeable number, because it can be changed into a prime (101001222120209) 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, 131196740 + ... + 131964339.

It is an arithmetic number, because the mean of its divisors is an integer number (2600360421750).

Almost surely, 2^{101001222120200} is an apocalyptic number.

101001222120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001222120200 is an abundant number, since it is smaller than the sum of its proper divisors (148633378367800).

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

101001222120200 is a wasteful number, since it uses less digits than its factorization.

101001222120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263161215 (or 263161206 counting only the distinct ones).

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

Adding to 101001222120200 its reverse (2021222100101), we get a palindrome (103022444220301).

The spelling of 101001222120200 in words is "one hundred one trillion, one billion, two hundred twenty-two million, one hundred twenty thousand, two hundred".