101411661312 has 160 divisors (see below), whose sum is σ = 323277329760. Its totient is φ = 31203532800.

The previous prime is 101411661293. The next prime is 101411661317. The reversal of 101411661312 is 213166114101.

101411661312 is a `hidden beast` number, since 1 + 0 + 1 + 41 + 1 + 6 + 613 + 1 + 2 = 666.

It is a super-2 number, since 2×101411661312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101411661317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102439 + ... + 461862.

It is an arithmetic number, because the mean of its divisors is an integer number (2020483311).

Almost surely, 2^101411661312 is an apocalyptic number.

101411661312 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 101411661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161638664880).

101411661312 is an abundant number, since it is smaller than the sum of its proper divisors (221865668448).

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

101411661312 is an equidigital number, since it uses as much as digits as its factorization.

101411661312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564341 (or 564319 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 101411661312 its reverse (213166114101), we get a palindrome (314577775413).

The spelling of 101411661312 in words is "one hundred one billion, four hundred eleven million, six hundred sixty-one thousand, three hundred twelve".