101211240032 has 96 divisors (see below), whose sum is σ = 229056387840. Its totient is φ = 43123392000.

The previous prime is 101211240007. The next prime is 101211240107. The reversal of 101211240032 is 230042112101.

It is a super-2 number, since 2×101211240032² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 38062319 + ... + 38064977.

It is an arithmetic number, because the mean of its divisors is an integer number (2386004040).

Almost surely, 2^101211240032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101211240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114528193920).

101211240032 is an abundant number, since it is smaller than the sum of its proper divisors (127845147808).

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

101211240032 is a wasteful number, since it uses less digits than its factorization.

101211240032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604 (or 3596 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 101211240032 its reverse (230042112101), we get a palindrome (331253352133).

The spelling of 101211240032 in words is "one hundred one billion, two hundred eleven million, two hundred forty thousand, thirty-two".