126417723101 has 16 divisors (see below), whose sum is σ = 134230575600. Its totient is φ = 118647029760.

The previous prime is 126417723071. The next prime is 126417723119. The reversal of 126417723101 is 101327714621.

It can be written as a sum of positive squares in 8 ways, for example, as 4641151876 + 121776571225 = 68126^2 + 348965^2 .

It is a cyclic number.

It is not a de Polignac number, because 126417723101 - 2¹⁸ = 126417460957 is a prime.

It is a super-2 number, since 2×126417723101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126417723121) 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, 16949165 + ... + 16956621.

It is an arithmetic number, because the mean of its divisors is an integer number (8389410975).

Almost surely, 2^126417723101 is an apocalyptic number.

It is an amenable number.

126417723101 is a deficient number, since it is larger than the sum of its proper divisors (7812852499).

126417723101 is a wasteful number, since it uses less digits than its factorization.

126417723101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10144.

The product of its (nonzero) digits is 14112, while the sum is 35.

The spelling of 126417723101 in words is "one hundred twenty-six billion, four hundred seventeen million, seven hundred twenty-three thousand, one hundred one".