10721011697121 has 32 divisors (see below), whose sum is σ = 15732084601728. Its totient is φ = 6440275735040.

The previous prime is 10721011697087. The next prime is 10721011697129. The reversal of 10721011697121 is 12179611012701.

It is a cyclic number.

It is not a de Polignac number, because 10721011697121 - 2¹³ = 10721011688929 is a prime.

It is a super-2 number, since 2×10721011697121² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10721011697121.

It is not an unprimeable number, because it can be changed into a prime (10721011697129) 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, 1136455 + ... + 4767971.

It is an arithmetic number, because the mean of its divisors is an integer number (491627643804).

Almost surely, 2^{10721011697121} is an apocalyptic number.

10721011697121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10721011697121 is a deficient number, since it is larger than the sum of its proper divisors (5011072904607).

10721011697121 is a wasteful number, since it uses less digits than its factorization.

10721011697121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632321.

The product of its (nonzero) digits is 10584, while the sum is 39.

The spelling of 10721011697121 in words is "ten trillion, seven hundred twenty-one billion, eleven million, six hundred ninety-seven thousand, one hundred twenty-one".