101538786746377 has 8 divisors (see below), whose sum is σ = 105108199525440. Its totient is φ = 97973912321040.

The previous prime is 101538786746347. The next prime is 101538786746393. The reversal of 101538786746377 is 773647687835101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101538786746377 - 2³⁵ = 101504427008009 is a prime.

It is a super-2 number, since 2×101538786746377² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101538786746347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1134542899 + ... + 1134632392.

It is an arithmetic number, because the mean of its divisors is an integer number (13138524940680).

Almost surely, 2^{101538786746377} is an apocalyptic number.

It is an amenable number.

101538786746377 is a deficient number, since it is larger than the sum of its proper divisors (3569412779063).

101538786746377 is a wasteful number, since it uses less digits than its factorization.

101538786746377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269176863.

The product of its (nonzero) digits is 995742720, while the sum is 73.

The spelling of 101538786746377 in words is "one hundred one trillion, five hundred thirty-eight billion, seven hundred eighty-six million, seven hundred forty-six thousand, three hundred seventy-seven".