1010010005056 has 56 divisors (see below), whose sum is σ = 2159495183160. Its totient is φ = 465924268032.

The previous prime is 1010010005027. The next prime is 1010010005077. The reversal of 1010010005056 is 6505000100101.

It can be written as a sum of positive squares in 4 ways, for example, as 9289875456 + 1000720129600 = 96384^2 + 1000360^2 .

It is a super-2 number, since 2×1010010005056² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1357560 + ... + 1965448.

It is an arithmetic number, because the mean of its divisors is an integer number (38562413985).

Almost surely, 2^{1010010005056} is an apocalyptic number.

1010010005056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1010010005056 is an abundant number, since it is smaller than the sum of its proper divisors (1149485178104).

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

1010010005056 is a wasteful number, since it uses less digits than its factorization.

1010010005056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609911 (or 609901 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 1010010005056 its reverse (6505000100101), we get a palindrome (7515010105157).

The spelling of 1010010005056 in words is "one trillion, ten billion, ten million, five thousand, fifty-six".