1010510171200 has 84 divisors (see below), whose sum is σ = 2511105670692. Its totient is φ = 400201984000.

The previous prime is 1010510171123. The next prime is 1010510171227. The reversal of 1010510171200 is 21710150101.

It can be written as a sum of positive squares in 6 ways, for example, as 92454916096 + 918055255104 = 304064^2 + 958152^2 .

It is a super-2 number, since 2×1010510171200² (a number of 25 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 2964979 + ... + 3288178.

Almost surely, 2^{1010510171200} is an apocalyptic number.

1010510171200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010510171200 is an abundant number, since it is smaller than the sum of its proper divisors (1500595499492).

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

1010510171200 is a wasteful number, since it uses less digits than its factorization.

1010510171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6253280 (or 6253265 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 19.

The spelling of 1010510171200 in words is "one trillion, ten billion, five hundred ten million, one hundred seventy-one thousand, two hundred".