101100331133332 has 12 divisors (see below), whose sum is σ = 177029105287860. Its totient is φ = 50520586765376.

The previous prime is 101100331133287. The next prime is 101100331133513. The reversal of 101100331133332 is 233331133001101.

It can be written as a sum of positive squares in 2 ways, for example, as 30065877031696 + 71034454101636 = 5483236^2 + 8428194^2 .

It is a super-2 number, since 2×101100331133332² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101100331133297 and 101100331133306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7394692633 + ... + 7394706304.

It is an arithmetic number, because the mean of its divisors is an integer number (14752425440655).

Almost surely, 2^{101100331133332} is an apocalyptic number.

It is an amenable number.

101100331133332 is a deficient number, since it is larger than the sum of its proper divisors (75928774154528).

101100331133332 is a wasteful number, since it uses less digits than its factorization.

101100331133332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14789400650 (or 14789400648 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 101100331133332 its reverse (233331133001101), we get a palindrome (334431464134433).

The spelling of 101100331133332 in words is "one hundred one trillion, one hundred billion, three hundred thirty-one million, one hundred thirty-three thousand, three hundred thirty-two".