101377773101 has 8 divisors (see below), whose sum is σ = 110596584864. Its totient is φ = 92159403120.

The previous prime is 101377773043. The next prime is 101377773103.

101377773101 is nontrivially palindromic in base 10.

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 101377773101 - 2³⁰ = 100304031277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101377773103) 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, 531755 + ... + 696791.

It is an arithmetic number, because the mean of its divisors is an integer number (13824573108).

Almost surely, 2^101377773101 is an apocalyptic number.

101377773101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101377773101 is a deficient number, since it is larger than the sum of its proper divisors (9218811763).

101377773101 is a wasteful number, since it uses less digits than its factorization.

101377773101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220891.

The product of its (nonzero) digits is 21609, while the sum is 38.

It can be divided in two parts, 101377 and 773101, that added together give a palindrome (874478).

The spelling of 101377773101 in words is "one hundred one billion, three hundred seventy-seven million, seven hundred seventy-three thousand, one hundred one".