10000010000970 has 144 divisors (see below), whose sum is σ = 30130260627168. Its totient is φ = 2281642145280.

The previous prime is 10000010000957. The next prime is 10000010000971. The reversal of 10000010000970 is 7900001000001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10000010000971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17189704 + ... + 17761923.

It is an arithmetic number, because the mean of its divisors is an integer number (209237921022).

Almost surely, 2^{10000010000970} is an apocalyptic number.

10000010000970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10000010000970 is an abundant number, since it is smaller than the sum of its proper divisors (20130250626198).

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

10000010000970 is a wasteful number, since it uses less digits than its factorization.

10000010000970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34951685 (or 34951665 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

Adding to 10000010000970 its reverse (7900001000001), we get a palindrome (17900011000971).

The spelling of 10000010000970 in words is "ten trillion, ten million, nine hundred seventy", and thus it is an aban number.