101201021131320 has 384 divisors, whose sum is σ = 371907005783040. Its totient is φ = 23653204945920.

The previous prime is 101201021131169. The next prime is 101201021131373. The reversal of 101201021131320 is 23131120102101.

101201021131320 is a `hidden beast` number, since 1 + 0 + 120 + 1 + 0 + 211 + 313 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101201021131293 and 101201021131302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8412274 + ... + 16527806.

It is an arithmetic number, because the mean of its divisors is an integer number (968507827560).

Almost surely, 2^{101201021131320} is an apocalyptic number.

101201021131320 is a gapful number since it is divisible by the number (10) 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 101201021131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185953502891520).

101201021131320 is an abundant number, since it is smaller than the sum of its proper divisors (270705984651720).

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

101201021131320 is a wasteful number, since it uses less digits than its factorization.

101201021131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8115675 (or 8115668 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101201021131320 its reverse (23131120102101), we get a palindrome (124332141233421).

The spelling of 101201021131320 in words is "one hundred one trillion, two hundred one billion, twenty-one million, one hundred thirty-one thousand, three hundred twenty".