10112121010200 has 192 divisors, whose sum is σ = 34214506560000. Its totient is φ = 2450193753600.

The previous prime is 10112121010193. The next prime is 10112121010207. The reversal of 10112121010200 is 201012121101.

It is an interprime number because it is at equal distance from previous prime (10112121010193) and next prime (10112121010207).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112121010207) 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, 12810174 + ... + 13576626.

It is an arithmetic number, because the mean of its divisors is an integer number (178200555000).

Almost surely, 2^{10112121010200} is an apocalyptic number.

10112121010200 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 10112121010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17107253280000).

10112121010200 is an abundant number, since it is smaller than the sum of its proper divisors (24102385549800).

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

10112121010200 is a wasteful number, since it uses less digits than its factorization.

10112121010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768482 (or 768473 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10112121010200 its reverse (201012121101), we get a palindrome (10313133131301).

The spelling of 10112121010200 in words is "ten trillion, one hundred twelve billion, one hundred twenty-one million, ten thousand, two hundred".