101627133312 has 128 divisors (see below), whose sum is σ = 272415006720. Its totient is φ = 33567436800.

The previous prime is 101627133287. The next prime is 101627133331. The reversal of 101627133312 is 213331726101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 101627133312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19873668 + ... + 19878780.

It is an arithmetic number, because the mean of its divisors is an integer number (2128242240).

Almost surely, 2^101627133312 is an apocalyptic number.

101627133312 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 101627133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136207503360).

101627133312 is an abundant number, since it is smaller than the sum of its proper divisors (170787873408).

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

101627133312 is a wasteful number, since it uses less digits than its factorization.

101627133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5592 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

Adding to 101627133312 its reverse (213331726101), we get a palindrome (314958859413).

The spelling of 101627133312 in words is "one hundred one billion, six hundred twenty-seven million, one hundred thirty-three thousand, three hundred twelve".