101211732784512 has 768 divisors, whose sum is σ = 362184887500800. Its totient is φ = 26474555289600.

The previous prime is 101211732784507. The next prime is 101211732784517. The reversal of 101211732784512 is 215487237112101.

101211732784512 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 1 + 173 + 27 + 8 + 451 + 2 = 666.

101211732784512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101211732784507) and next prime (101211732784517).

It is a super-2 number, since 2×101211732784512² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211732784517) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3453014337 + ... + 3453043647.

It is an arithmetic number, because the mean of its divisors is an integer number (471594905600).

Almost surely, 2^{101211732784512} is an apocalyptic number.

101211732784512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101211732784512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181092443750400).

101211732784512 is an abundant number, since it is smaller than the sum of its proper divisors (260973154716288).

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

101211732784512 is a wasteful number, since it uses less digits than its factorization.

101211732784512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30115 (or 30100 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

Adding to 101211732784512 its reverse (215487237112101), we get a palindrome (316698969896613).

The spelling of 101211732784512 in words is "one hundred one trillion, two hundred eleven billion, seven hundred thirty-two million, seven hundred eighty-four thousand, five hundred twelve".