101849372282025 has 27 divisors (see below), whose sum is σ = 182423813494039. Its totient is φ = 54319584480720.

The previous prime is 101849372282011. The next prime is 101849372282081. The reversal of 101849372282025 is 520282273948101.

It is a happy number.

The square root of 101849372282025 is 10092045.

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

101849372282025 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 49 + 372 + 28 + 202 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36665774021529 + 65183598260496 = 6055227^2 + 8073636^2 .

It is not a de Polignac number, because 101849372282025 - 2⁹ = 101849372281513 is a prime.

It is a super-2 number, since 2×101849372282025² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 151044274 + ... + 151717076.

Almost surely, 2^{101849372282025} is an apocalyptic number.

101849372282025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101849372282025 is the 10092045-th square number.

101849372282025 is the 5046023-rd centered octagonal number.

It is an amenable number.

101849372282025 is a deficient number, since it is larger than the sum of its proper divisors (80574441212014).

101849372282025 is an frugal number, since it uses more digits than its factorization.

101849372282025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345622 (or 672811 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 101849372282025 in words is "one hundred one trillion, eight hundred forty-nine billion, three hundred seventy-two million, two hundred eighty-two thousand, twenty-five".