101211221022200 has 192 divisors, whose sum is σ = 250198614076320. Its totient is φ = 37944115200000.

The previous prime is 101211221022199. The next prime is 101211221022209. The reversal of 101211221022200 is 2220122112101.

101211221022200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101211221022200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211221022209) 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, 1540449350 + ... + 1540515050.

Almost surely, 2^{101211221022200} is an apocalyptic number.

101211221022200 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 101211221022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125099307038160).

101211221022200 is an abundant number, since it is smaller than the sum of its proper divisors (148987393054120).

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

101211221022200 is a wasteful number, since it uses less digits than its factorization.

101211221022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67618 (or 67609 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101211221022200 its reverse (2220122112101), we get a palindrome (103431343134301).

The spelling of 101211221022200 in words is "one hundred one trillion, two hundred eleven billion, two hundred twenty-one million, twenty-two thousand, two hundred".