101201211200 has 168 divisors, whose sum is σ = 258367987200. Its totient is φ = 38974003200.

The previous prime is 101201211197. The next prime is 101201211313. The reversal of 101201211200 is 2112102101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9865274 + ... + 9875526.

Almost surely, 2^101201211200 is an apocalyptic number.

101201211200 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 101201211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129183993600).

101201211200 is an abundant number, since it is smaller than the sum of its proper divisors (157166776000).

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

101201211200 is a wasteful number, since it uses less digits than its factorization.

101201211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10505 (or 10490 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101201211200 its reverse (2112102101), we get a palindrome (103313313301).

The spelling of 101201211200 in words is "one hundred one billion, two hundred one million, two hundred eleven thousand, two hundred".