101407677466701 has 16 divisors (see below), whose sum is σ = 140000630031360. Its totient is φ = 65214187321920.

The previous prime is 101407677466603. The next prime is 101407677466727. The reversal of 101407677466701 is 107664776704101.

It is not a de Polignac number, because 101407677466701 - 2⁷ = 101407677466573 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101407677466741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533118765 + ... + 533308946.

It is an arithmetic number, because the mean of its divisors is an integer number (8750039376960).

Almost surely, 2^{101407677466701} is an apocalyptic number.

It is an amenable number.

101407677466701 is a deficient number, since it is larger than the sum of its proper divisors (38592952564659).

101407677466701 is a wasteful number, since it uses less digits than its factorization.

101407677466701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066428836.

The product of its (nonzero) digits is 8297856, while the sum is 57.

The spelling of 101407677466701 in words is "one hundred one trillion, four hundred seven billion, six hundred seventy-seven million, four hundred sixty-six thousand, seven hundred one".