1010211120192 has 112 divisors (see below), whose sum is σ = 2681176248000. Its totient is φ = 335689482240.

The previous prime is 1010211120161. The next prime is 1010211120203. The reversal of 1010211120192 is 2910211120101.

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 15 ways as a sum of consecutive naturals, for example, 111117567 + ... + 111126657.

Almost surely, 2^{1010211120192} is an apocalyptic number.

1010211120192 is a gapful number since it is divisible by the number (12) 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 1010211120192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340588124000).

1010211120192 is an abundant number, since it is smaller than the sum of its proper divisors (1670965127808).

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

1010211120192 is a wasteful number, since it uses less digits than its factorization.

1010211120192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10844 (or 10834 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 21.

Adding to 1010211120192 its reverse (2910211120101), we get a palindrome (3920422240293).

The spelling of 1010211120192 in words is "one trillion, ten billion, two hundred eleven million, one hundred twenty thousand, one hundred ninety-two".