101161710772 has 24 divisors (see below), whose sum is σ = 180942359976. Its totient is φ = 49469916288.

The previous prime is 101161710763. The next prime is 101161710791. The reversal of 101161710772 is 277017161101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2197359376 + 98964351396 = 46876^2 + 314586^2 .

It is a super-3 number, since 3×101161710772³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 685443 + ... + 819850.

It is an arithmetic number, because the mean of its divisors is an integer number (7539264999).

Almost surely, 2^101161710772 is an apocalyptic number.

It is an amenable number.

101161710772 is a deficient number, since it is larger than the sum of its proper divisors (79780649204).

101161710772 is a wasteful number, since it uses less digits than its factorization.

101161710772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505667 (or 1505665 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 34.

Adding to 101161710772 its reverse (277017161101), we get a palindrome (378178871873).

The spelling of 101161710772 in words is "one hundred one billion, one hundred sixty-one million, seven hundred ten thousand, seven hundred seventy-two".