10261314121 has 16 divisors (see below), whose sum is σ = 11027415168. Its totient is φ = 9513504000.

The previous prime is 10261314101. The next prime is 10261314143. The reversal of 10261314121 is 12141316201.

It is a cyclic number.

It is not a de Polignac number, because 10261314121 - 2⁹ = 10261313609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10261314092 and 10261314101.

It is not an unprimeable number, because it can be changed into a prime (10261314101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1750846 + ... + 1756696.

It is an arithmetic number, because the mean of its divisors is an integer number (689213448).

Almost surely, 2^10261314121 is an apocalyptic number.

It is an amenable number.

10261314121 is a deficient number, since it is larger than the sum of its proper divisors (766101047).

10261314121 is a wasteful number, since it uses less digits than its factorization.

10261314121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7392.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 10261314121 in words is "ten billion, two hundred sixty-one million, three hundred fourteen thousand, one hundred twenty-one".