101161710771 has 16 divisors (see below), whose sum is σ = 147169993728. Its totient is φ = 61299424800.

The previous prime is 101161710763. The next prime is 101161710791. The reversal of 101161710771 is 177017161101.

It is not a de Polignac number, because 101161710771 - 2³ = 101161710763 is a prime.

It is a super-2 number, since 2×101161710771² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (101161710751) 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, 73576 + ... + 455781.

It is an arithmetic number, because the mean of its divisors is an integer number (9198124608).

Almost surely, 2^101161710771 is an apocalyptic number.

101161710771 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101161710771 is a deficient number, since it is larger than the sum of its proper divisors (46008282957).

101161710771 is a wasteful number, since it uses less digits than its factorization.

101161710771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535162.

The product of its (nonzero) digits is 2058, while the sum is 33.

Adding to 101161710771 its reverse (177017161101), we get a palindrome (278178871872).

The spelling of 101161710771 in words is "one hundred one billion, one hundred sixty-one million, seven hundred ten thousand, seven hundred seventy-one".