101671061881 has 9 divisors (see below), whose sum is σ = 102048390223. Its totient is φ = 101295127120.

The previous prime is 101671061839. The next prime is 101671061903. The reversal of 101671061881 is 188160176101.

The square root of 101671061881 is 318859.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 267028281 + 101404033600 = 16341^2 + 318440^2 .

It is not a de Polignac number, because 101671061881 - 2⁷ = 101671061753 is a prime.

It is a super-2 number, since 2×101671061881² (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 (101671061081) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 133601541 + ... + 133602301.

Almost surely, 2^101671061881 is an apocalyptic number.

101671061881 is the 318859-th square number.

101671061881 is the 159430-th centered octagonal number.

It is an amenable number.

101671061881 is a deficient number, since it is larger than the sum of its proper divisors (377328342).

101671061881 is an frugal number, since it uses more digits than its factorization.

101671061881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 40.

The spelling of 101671061881 in words is "one hundred one billion, six hundred seventy-one million, sixty-one thousand, eight hundred eighty-one".