101412081 has 20 divisors (see below), whose sum is σ = 152388852. Its totient is φ = 67207968.

The previous prime is 101412019. The next prime is 101412119. The reversal of 101412081 is 180214101.

It can be written as a sum of positive squares in 2 ways, for example, as 81162081 + 20250000 = 9009^2 + 4500^2 .

It is not a de Polignac number, because 101412081 - 2¹¹ = 101410033 is a prime.

It is a super-2 number, since 2×101412081² = 20568820345501122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101417081) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10395 + ... + 17631.

Almost surely, 2^101412081 is an apocalyptic number.

It is an amenable number.

101412081 is a deficient number, since it is larger than the sum of its proper divisors (50976771).

101412081 is an equidigital number, since it uses as much as digits as its factorization.

101412081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7422 (or 7413 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 101412081 is about 10070.3565478090. The cubic root of 101412081 is about 466.3334461929. Note that the first 3 decimals are identical.

Adding to 101412081 its reverse (180214101), we get a palindrome (281626182).

The spelling of 101412081 in words is "one hundred one million, four hundred twelve thousand, eighty-one".