101022901281 has 27 divisors (see below), whose sum is σ = 148801599219. Its totient is φ = 66044817072.

The previous prime is 101022901211. The next prime is 101022901303. The reversal of 101022901281 is 182109220101.

The square root of 101022901281 is 317841.

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., 72827118225 + 28195783056 = 269865^2 + 167916^2 .

It is not a de Polignac number, because 101022901281 - 2¹¹ = 101022899233 is a prime.

It is a super-2 number, since 2×101022901281² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101022901211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50535720 + ... + 50537718.

Almost surely, 2^101022901281 is an apocalyptic number.

101022901281 is the 317841-st square number.

101022901281 is the 158921-st centered octagonal number.

It is an amenable number.

101022901281 is a deficient number, since it is larger than the sum of its proper divisors (47778697938).

101022901281 is an frugal number, since it uses more digits than its factorization.

101022901281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

Multiplying 101022901281 by its product of nonzero digits (576), we get a square (58189191137856 = 7628184²).

The spelling of 101022901281 in words is "one hundred one billion, twenty-two million, nine hundred one thousand, two hundred eighty-one".