101121340320 has 1728 divisors, whose sum is σ = 485305696512. Its totient is φ = 18513100800.

The previous prime is 101121340231. The next prime is 101121340337. The reversal of 101121340320 is 23043121101.

101121340320 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 2 + 1 + 340 + 320 = 666.

It is a super-2 number, since 2×101121340320² (a number of 23 digits) contains 22 as substring.

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 = 101121340293 and 101121340302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1385223804 + ... + 1385223876.

It is an arithmetic number, because the mean of its divisors is an integer number (280848204).

Almost surely, 2^101121340320 is an apocalyptic number.

101121340320 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 101121340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242652848256).

101121340320 is an abundant number, since it is smaller than the sum of its proper divisors (384184356192).

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

101121340320 is a wasteful number, since it uses less digits than its factorization.

101121340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101121340320 its reverse (23043121101), we get a palindrome (124164461421).

The spelling of 101121340320 in words is "one hundred one billion, one hundred twenty-one million, three hundred forty thousand, three hundred twenty".