101211111021200 has 120 divisors (see below), whose sum is σ = 244679481177600. Its totient is φ = 40232048532480.

The previous prime is 101211111021187. The next prime is 101211111021247. The reversal of 101211111021200 is 2120111112101.

101211111021200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49757741 + ... + 51751859.

It is an arithmetic number, because the mean of its divisors is an integer number (2038995676480).

Almost surely, 2^{101211111021200} is an apocalyptic number.

101211111021200 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 101211111021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122339740588800).

101211111021200 is an abundant number, since it is smaller than the sum of its proper divisors (143468370156400).

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

101211111021200 is a wasteful number, since it uses less digits than its factorization.

101211111021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994929 (or 1994918 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101211111021200 its reverse (2120111112101), we get a palindrome (103331222133301).

Subtracting from 101211111021200 its reverse (2120111112101), we obtain a palindrome (99090999909099).

The spelling of 101211111021200 in words is "one hundred one trillion, two hundred eleven billion, one hundred eleven million, twenty-one thousand, two hundred".