101211303113200 has 60 divisors (see below), whose sum is σ = 277897320841360. Its totient is φ = 34701018209280.

The previous prime is 101211303113171. The next prime is 101211303113209. The reversal of 101211303113200 is 2311303112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211303113209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18073444185 + ... + 18073449784.

Almost surely, 2^{101211303113200} is an apocalyptic number.

101211303113200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211303113200 is an abundant number, since it is smaller than the sum of its proper divisors (176686017728160).

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

101211303113200 is a wasteful number, since it uses less digits than its factorization.

101211303113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36146893994 (or 36146893983 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 101211303113200 its reverse (2311303112101), we get a palindrome (103522606225301).

The spelling of 101211303113200 in words is "one hundred one trillion, two hundred eleven billion, three hundred three million, one hundred thirteen thousand, two hundred".