101613613212 has 120 divisors (see below), whose sum is σ = 272056400000. Its totient is φ = 33054213024.

The previous prime is 101613613187. The next prime is 101613613217. The reversal of 101613613212 is 212316316101.

It is a happy number.

101613613212 is a `hidden beast` number, since 1 + 0 + 1 + 613 + 6 + 1 + 32 + 12 = 666.

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 (101613613217) 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 39 ways as a sum of consecutive naturals, for example, 20324289 + ... + 20329287.

Almost surely, 2^101613613212 is an apocalyptic number.

101613613212 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 101613613212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136028200000).

101613613212 is an abundant number, since it is smaller than the sum of its proper divisors (170442786788).

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

101613613212 is a wasteful number, since it uses less digits than its factorization.

101613613212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6517 (or 6506 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 101613613212 its reverse (212316316101), we get a palindrome (313929929313).

The spelling of 101613613212 in words is "one hundred one billion, six hundred thirteen million, six hundred thirteen thousand, two hundred twelve".