103391498121921 has 27 divisors (see below), whose sum is σ = 151044109667139. Its totient is φ = 68151407667552.

The previous prime is 103391498121889. The next prime is 103391498121979. The reversal of 103391498121921 is 129121894193301.

The square root of 103391498121921 is 10168161.

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

103391498121921 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 9 + 1 + 498 + 121 + 9 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19853360515521 + 83538137606400 = 4455711^2 + 9139920^2 .

It is not a de Polignac number, because 103391498121921 - 2⁵ = 103391498121889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103391498121991) 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, 2714879946 + ... + 2714918028.

Almost surely, 2^{103391498121921} is an apocalyptic number.

103391498121921 is the 10168161-st square number.

103391498121921 is the 5084081-st centered octagonal number.

It is an amenable number.

103391498121921 is a deficient number, since it is larger than the sum of its proper divisors (47652611545218).

103391498121921 is an frugal number, since it uses more digits than its factorization.

103391498121921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76350 (or 38175 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 103391498121921 in words is "one hundred three trillion, three hundred ninety-one billion, four hundred ninety-eight million, one hundred twenty-one thousand, nine hundred twenty-one".