101201112200200 has 96 divisors (see below), whose sum is σ = 241657599620160. Its totient is φ = 39385440864000.

The previous prime is 101201112200197. The next prime is 101201112200207. The reversal of 101201112200200 is 2002211102101.

It is a super-2 number, since 2×101201112200200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101201112200207) 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, 366332125 + ... + 366608275.

It is an arithmetic number, because the mean of its divisors is an integer number (2517266662710).

Almost surely, 2^{101201112200200} is an apocalyptic number.

101201112200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201112200200 is an abundant number, since it is smaller than the sum of its proper divisors (140456487419960).

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

101201112200200 is a wasteful number, since it uses less digits than its factorization.

101201112200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325727 (or 325718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101201112200200 its reverse (2002211102101), we get a palindrome (103203323302301).

The spelling of 101201112200200 in words is "one hundred one trillion, two hundred one billion, one hundred twelve million, two hundred thousand, two hundred".