12761014101 has 64 divisors (see below), whose sum is σ = 19830528000. Its totient is φ = 7224940800.

The previous prime is 12761014081. The next prime is 12761014187. The reversal of 12761014101 is 10141016721.

It is not a de Polignac number, because 12761014101 - 2⁹ = 12761013589 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12761014001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7045486 + ... + 7047296.

It is an arithmetic number, because the mean of its divisors is an integer number (309852000).

Almost surely, 2^12761014101 is an apocalyptic number.

12761014101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12761014101 is a deficient number, since it is larger than the sum of its proper divisors (7069513899).

12761014101 is a wasteful number, since it uses less digits than its factorization.

12761014101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090.

The product of its (nonzero) digits is 336, while the sum is 24.

The spelling of 12761014101 in words is "twelve billion, seven hundred sixty-one million, fourteen thousand, one hundred one".