1010527322112 has 1800 divisors, whose sum is σ = 4049812462080. Its totient is φ = 245248819200.

The previous prime is 1010527322009. The next prime is 1010527322153. The reversal of 1010527322112 is 2112237250101.

It is a happy number.

1010527322112 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 527 + 3 + 22 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32597655537 + ... + 32597655567.

Almost surely, 2^{1010527322112} is an apocalyptic number.

1010527322112 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 1010527322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024906231040).

1010527322112 is an abundant number, since it is smaller than the sum of its proper divisors (3039285139968).

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

1010527322112 is an equidigital number, since it uses as much as digits as its factorization.

1010527322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 1010527322112 in words is "one trillion, ten billion, five hundred twenty-seven million, three hundred twenty-two thousand, one hundred twelve".