101112211010200 has 192 divisors, whose sum is σ = 264681986768640. Its totient is φ = 35642242183680.

The previous prime is 101112211010191. The next prime is 101112211010257. The reversal of 101112211010200 is 2010112211101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29658919 + ... + 32891881.

It is an arithmetic number, because the mean of its divisors is an integer number (1378552014420).

Almost surely, 2^{101112211010200} is an apocalyptic number.

101112211010200 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 101112211010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132340993384320).

101112211010200 is an abundant number, since it is smaller than the sum of its proper divisors (163569775758440).

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

101112211010200 is a wasteful number, since it uses less digits than its factorization.

101112211010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233538 (or 3233529 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101112211010200 its reverse (2010112211101), we get a palindrome (103122323221301).

The spelling of 101112211010200 in words is "one hundred one trillion, one hundred twelve billion, two hundred eleven million, ten thousand, two hundred".