1010112121200 has 720 divisors, whose sum is σ = 4112751814656. Its totient is φ = 207351705600.

The previous prime is 1010112121129. The next prime is 1010112121217. The reversal of 1010112121200 is 21212110101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52515585 + ... + 52534815.

Almost surely, 2^{1010112121200} is an apocalyptic number.

1010112121200 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 1010112121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056375907328).

1010112121200 is an abundant number, since it is smaller than the sum of its proper divisors (3102639693456).

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

1010112121200 is a wasteful number, since it uses less digits than its factorization.

1010112121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19322 (or 19298 counting only the distinct ones).

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

Adding to 1010112121200 its reverse (21212110101), we get a palindrome (1031324231301).

The spelling of 1010112121200 in words is "one trillion, ten billion, one hundred twelve million, one hundred twenty-one thousand, two hundred".