101201212200 has 192 divisors, whose sum is σ = 345634931520. Its totient is φ = 24290560000.

The previous prime is 101201212199. The next prime is 101201212201. The reversal of 101201212200 is 2212102101.

101201212200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101201212199) and next prime (101201212201).

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 (101201212201) 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, 590692 + ... + 742508.

It is an arithmetic number, because the mean of its divisors is an integer number (1800181935).

Almost surely, 2^101201212200 is an apocalyptic number.

101201212200 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 101201212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172817465760).

101201212200 is an abundant number, since it is smaller than the sum of its proper divisors (244433719320).

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

101201212200 is a wasteful number, since it uses less digits than its factorization.

101201212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151948 (or 151939 counting only the distinct ones).

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

Adding to 101201212200 its reverse (2212102101), we get a palindrome (103413314301).

The spelling of 101201212200 in words is "one hundred one billion, two hundred one million, two hundred twelve thousand, two hundred".