101601283392 has 1120 divisors, whose sum is σ = 389461248000. Its totient is φ = 25521205248.

The previous prime is 101601283363. The next prime is 101601283393. The reversal of 101601283392 is 293382106101.

101601283392 is a `hidden beast` number, since 10 + 1 + 601 + 2 + 8 + 3 + 39 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101601283393) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 681887734 + ... + 681887882.

Almost surely, 2^101601283392 is an apocalyptic number.

101601283392 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 101601283392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194730624000).

101601283392 is an abundant number, since it is smaller than the sum of its proper divisors (287859964608).

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

101601283392 is a wasteful number, since it uses less digits than its factorization.

101601283392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Adding to 101601283392 its reverse (293382106101), we get a palindrome (394983389493).

The spelling of 101601283392 in words is "one hundred one billion, six hundred one million, two hundred eighty-three thousand, three hundred ninety-two".