101210221200 has 240 divisors, whose sum is σ = 369062378496. Its totient is φ = 23468966400.

The previous prime is 101210221153. The next prime is 101210221201. The reversal of 101210221200 is 2122012101.

101210221200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101210221201) 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, 136917 + ... + 470283.

Almost surely, 2^101210221200 is an apocalyptic number.

101210221200 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 101210221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184531189248).

101210221200 is an abundant number, since it is smaller than the sum of its proper divisors (267852157296).

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

101210221200 is a wasteful number, since it uses less digits than its factorization.

101210221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333422 (or 333411 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101210221200 its reverse (2122012101), we get a palindrome (103332233301).

The spelling of 101210221200 in words is "one hundred one billion, two hundred ten million, two hundred twenty-one thousand, two hundred".