1072101141 has 24 divisors (see below), whose sum is σ = 1662162840. Its totient is φ = 663469056.

The previous prime is 1072101113. The next prime is 1072101167. The reversal of 1072101141 is 1411012701.

It can be written as a sum of positive squares in 4 ways, for example, as 115992900 + 956108241 = 10770^2 + 30921^2 .

It is not a de Polignac number, because 1072101141 - 2⁹ = 1072100629 is a prime.

It is a super-2 number, since 2×1072101141² = 2298801713067003762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072103141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36826 + ... + 59163.

It is an arithmetic number, because the mean of its divisors is an integer number (69256785).

Almost surely, 2^1072101141 is an apocalyptic number.

It is an amenable number.

1072101141 is a deficient number, since it is larger than the sum of its proper divisors (590061699).

1072101141 is a wasteful number, since it uses less digits than its factorization.

1072101141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96085 (or 96082 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 1072101141 is about 32742.9555935319. The cubic root of 1072101141 is about 1023.4781750465.

Adding to 1072101141 its reverse (1411012701), we get a palindrome (2483113842).

The spelling of 1072101141 in words is "one billion, seventy-two million, one hundred one thousand, one hundred forty-one".