101500225281 has 135 divisors (see below), whose sum is σ = 191482190361. Its totient is φ = 53400949056.

The previous prime is 101500225273. The next prime is 101500225319. The reversal of 101500225281 is 182522005101.

It is a happy number.

The square root of 101500225281 is 318591.

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

101500225281 is a `hidden beast` number, since 10 + 1 + 500 + 22 + 52 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39008225025 + 62492000256 = 197505^2 + 249984^2 .

It is not a de Polignac number, because 101500225281 - 2³ = 101500225273 is a prime.

It is a super-2 number, since 2×101500225281² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101500225201) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 260925835 + ... + 260926223.

Almost surely, 2^101500225281 is an apocalyptic number.

101500225281 is the 318591-st square number.

101500225281 is the 159296-th centered octagonal number.

It is an amenable number.

101500225281 is a deficient number, since it is larger than the sum of its proper divisors (89981965080).

101500225281 is an frugal number, since it uses more digits than its factorization.

101500225281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Multiplying 101500225281 by its product of nonzero digits (1600), we get a square (162400360449600 = 12743640²).

The spelling of 101500225281 in words is "one hundred one billion, five hundred million, two hundred twenty-five thousand, two hundred eighty-one".