101345411776456 has 16 divisors (see below), whose sum is σ = 190304998721100. Its totient is φ = 50597412117504.

The previous prime is 101345411776451. The next prime is 101345411776571. The reversal of 101345411776456 is 654677114543101.

It can be written as a sum of positive squares in 2 ways, for example, as 90662123415556 + 10683288360900 = 9521666^2 + 3268530^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101345411776397 and 101345411776406.

It is not an unprimeable number, because it can be changed into a prime (101345411776451) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9411715621 + ... + 9411726388.

Almost surely, 2^{101345411776456} is an apocalyptic number.

It is an amenable number.

101345411776456 is a deficient number, since it is larger than the sum of its proper divisors (88959586944644).

101345411776456 is a wasteful number, since it uses less digits than its factorization.

101345411776456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18823442688 (or 18823442684 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 55.

The spelling of 101345411776456 in words is "one hundred one trillion, three hundred forty-five billion, four hundred eleven million, seven hundred seventy-six thousand, four hundred fifty-six".