101137731377 has 8 divisors (see below), whose sum is σ = 102211017600. Its totient is φ = 100065855600.

The previous prime is 101137731301. The next prime is 101137731379. The reversal of 101137731377 is 773137731101.

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 101137731377 - 2¹² = 101137727281 is a prime.

It is a super-2 number, since 2×101137731377² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101137731379) 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, 208127 + ... + 495572.

It is an arithmetic number, because the mean of its divisors is an integer number (12776377200).

Almost surely, 2^101137731377 is an apocalyptic number.

It is an amenable number.

101137731377 is a deficient number, since it is larger than the sum of its proper divisors (1073286223).

101137731377 is a wasteful number, since it uses less digits than its factorization.

101137731377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705223.

The product of its (nonzero) digits is 64827, while the sum is 41.

The spelling of 101137731377 in words is "one hundred one billion, one hundred thirty-seven million, seven hundred thirty-one thousand, three hundred seventy-seven".