10721011697130 has 64 divisors (see below), whose sum is σ = 31135980199680. Its totient is φ = 2306368902144.

The previous prime is 10721011697129. The next prime is 10721011697131. The reversal of 10721011697130 is 3179611012701.

It is an interprime number because it is at equal distance from previous prime (10721011697129) and next prime (10721011697131).

It is a super-2 number, since 2×10721011697130² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10721011697131) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1501538685 + ... + 1501545824.

It is an arithmetic number, because the mean of its divisors is an integer number (486499690620).

Almost surely, 2^{10721011697130} is an apocalyptic number.

10721011697130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10721011697130 is an abundant number, since it is smaller than the sum of its proper divisors (20414968502550).

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

10721011697130 is a wasteful number, since it uses less digits than its factorization.

10721011697130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003084543.

The product of its (nonzero) digits is 15876, while the sum is 39.

The spelling of 10721011697130 in words is "ten trillion, seven hundred twenty-one billion, eleven million, six hundred ninety-seven thousand, one hundred thirty".