1010155521256 has 128 divisors (see below), whose sum is σ = 2332551168000. Its totient is φ = 400578647040.

The previous prime is 1010155521253. The next prime is 1010155521259. The reversal of 1010155521256 is 6521255510101.

1010155521256 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 (1010155521253) and next prime (1010155521259).

It is not an unprimeable number, because it can be changed into a prime (1010155521251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156634320 + ... + 156640768.

It is an arithmetic number, because the mean of its divisors is an integer number (18223056000).

Almost surely, 2^{1010155521256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010155521256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166275584000).

1010155521256 is an abundant number, since it is smaller than the sum of its proper divisors (1322395646744).

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

1010155521256 is a wasteful number, since it uses less digits than its factorization.

1010155521256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10439 (or 10435 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 34.

The spelling of 1010155521256 in words is "one trillion, ten billion, one hundred fifty-five million, five hundred twenty-one thousand, two hundred fifty-six".