101064032241 has 64 divisors (see below), whose sum is σ = 150381619200. Its totient is φ = 60075631616.

The previous prime is 101064032231. The next prime is 101064032261. The reversal of 101064032241 is 142230460101.

It is not a de Polignac number, because 101064032241 - 2¹⁸ = 101063770097 is a prime.

It is a super-2 number, since 2×101064032241² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101064032221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82635556 + ... + 82636778.

It is an arithmetic number, because the mean of its divisors is an integer number (2349712800).

Almost surely, 2^101064032241 is an apocalyptic number.

It is an amenable number.

101064032241 is a deficient number, since it is larger than the sum of its proper divisors (49317586959).

101064032241 is a wasteful number, since it uses less digits than its factorization.

101064032241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 101064032241 its reverse (142230460101), we get a palindrome (243294492342).

The spelling of 101064032241 in words is "one hundred one billion, sixty-four million, thirty-two thousand, two hundred forty-one".