109902493266721 has 9 divisors (see below), whose sum is σ = 109970457464883. Its totient is φ = 109834571065440.

The previous prime is 109902493266667. The next prime is 109902493266749. The reversal of 109902493266721 is 127662394209901.

The square root of 109902493266721 is 10483439.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 70416460321 + 109832076806400 = 265361^2 + 10480080^2 .

It is not a de Polignac number, because 109902493266721 - 2³⁷ = 109765054313249 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 109902493266721.

It is not an unprimeable number, because it can be changed into a prime (109902493266781) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32718811440 + ... + 32718814798.

Almost surely, 2^{109902493266721} is an apocalyptic number.

109902493266721 is the 10483439-th square number.

109902493266721 is the 5241720-th centered octagonal number.

It is an amenable number.

109902493266721 is a deficient number, since it is larger than the sum of its proper divisors (67964198162).

109902493266721 is an frugal number, since it uses more digits than its factorization.

109902493266721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12960 (or 6480 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 61.

The spelling of 109902493266721 in words is "one hundred nine trillion, nine hundred two billion, four hundred ninety-three million, two hundred sixty-six thousand, seven hundred twenty-one".