101233004240 has 40 divisors (see below), whose sum is σ = 235381843080. Its totient is φ = 40490602496.

The previous prime is 101233004161. The next prime is 101233004263. The reversal of 101233004240 is 42400332101.

It can be written as a sum of positive squares in 4 ways, for example, as 18394954384 + 82838049856 = 135628^2 + 287816^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×101233004240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1651256 + ... + 1711464.

It is an arithmetic number, because the mean of its divisors is an integer number (5884546077).

Almost surely, 2^101233004240 is an apocalyptic number.

101233004240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101233004240 is an abundant number, since it is smaller than the sum of its proper divisors (134148838840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101233004240 is a wasteful number, since it uses less digits than its factorization.

101233004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81239 (or 81233 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 101233004240 its reverse (42400332101), we get a palindrome (143633336341).

The spelling of 101233004240 in words is "one hundred one billion, two hundred thirty-three million, four thousand, two hundred forty".