109977399714121 has 27 divisors (see below), whose sum is σ = 122132045744373. Its totient is φ = 99004095527040.

The previous prime is 109977399714113. The next prime is 109977399714151. The reversal of 109977399714121 is 121417993779901.

The square root of 109977399714121 is 10487011.

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

It can be written as a sum of positive squares in 4 ways, for example, as 46988351588025 + 62989048126096 = 6854805^2 + 7936564^2 .

It is not a de Polignac number, because 109977399714121 - 2³ = 109977399714113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109977399714151) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4100407891 + ... + 4100434711.

Almost surely, 2^{109977399714121} is an apocalyptic number.

109977399714121 is the 10487011-st square number.

109977399714121 is the 5243506-th centered octagonal number.

It is an amenable number.

109977399714121 is a deficient number, since it is larger than the sum of its proper divisors (12154646030252).

109977399714121 is an frugal number, since it uses more digits than its factorization.

109977399714121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53722 (or 26861 counting only the distinct ones).

The product of its (nonzero) digits is 54010152, while the sum is 70.

The spelling of 109977399714121 in words is "one hundred nine trillion, nine hundred seventy-seven billion, three hundred ninety-nine million, seven hundred fourteen thousand, one hundred twenty-one".