1011210112000 has 352 divisors, whose sum is σ = 2787231882240. Its totient is φ = 363018240000.

The previous prime is 1011210111997. The next prime is 1011210112051. The reversal of 1011210112000 is 2110121101.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×1011210112000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111227455 + ... + 111236545.

Almost surely, 2^{1011210112000} is an apocalyptic number.

1011210112000 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 1011210112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393615941120).

1011210112000 is an abundant number, since it is smaller than the sum of its proper divisors (1776021770240).

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

1011210112000 is an equidigital number, since it uses as much as digits as its factorization.

1011210112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9216 (or 9188 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1011210112000 its reverse (2110121101), we get a palindrome (1013320233101).

The spelling of 1011210112000 in words is "one trillion, eleven billion, two hundred ten million, one hundred twelve thousand".