1010305112355 has 128 divisors (see below), whose sum is σ = 2256926146560. Its totient is φ = 416560475520.

The previous prime is 1010305112353. The next prime is 1010305112357. The reversal of 1010305112355 is 5532115030101.

1010305112355 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 305 + 1 + 1 + 2 + 355 = 666.

1010305112355 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1010305112353) and next prime (1010305112357).

It is not a de Polignac number, because 1010305112355 - 2¹ = 1010305112353 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1010305112353) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 937522 + ... + 1702808.

It is an arithmetic number, because the mean of its divisors is an integer number (17632235520).

Almost surely, 2^{1010305112355} is an apocalyptic number.

1010305112355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1010305112355 is an abundant number, since it is smaller than the sum of its proper divisors (1246621034205).

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

1010305112355 is a wasteful number, since it uses less digits than its factorization.

1010305112355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765446 (or 765440 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 1010305112355 in words is "one trillion, ten billion, three hundred five million, one hundred twelve thousand, three hundred fifty-five".