101210433440 has 48 divisors (see below), whose sum is σ = 245572086312. Its totient is φ = 39390004224.

The previous prime is 101210433431. The next prime is 101210433449. The reversal of 101210433440 is 44334012101.

It is an interprime number because it is at equal distance from previous prime (101210433431) and next prime (101210433449).

It can be written as a sum of positive squares in 4 ways, for example, as 101141808784 + 68624656 = 318028^2 + 8284^2 .

It is a super-2 number, since 2×101210433440² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101210433449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8542259 + ... + 8554098.

Almost surely, 2^101210433440 is an apocalyptic number.

101210433440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210433440 is an abundant number, since it is smaller than the sum of its proper divisors (144361652872).

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

101210433440 is a wasteful number, since it uses less digits than its factorization.

101210433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17096409 (or 17096401 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 101210433440 its reverse (44334012101), we get a palindrome (145544445541).

The spelling of 101210433440 in words is "one hundred one billion, two hundred ten million, four hundred thirty-three thousand, four hundred forty".