101121321756 has 144 divisors (see below), whose sum is σ = 295804172160. Its totient is φ = 26649624960.

The previous prime is 101121321727. The next prime is 101121321757. The reversal of 101121321756 is 657123121101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121321757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12371551 + ... + 12379721.

It is an arithmetic number, because the mean of its divisors is an integer number (2054195640).

Almost surely, 2^101121321756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101121321756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147902086080).

101121321756 is an abundant number, since it is smaller than the sum of its proper divisors (194682850404).

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

101121321756 is a wasteful number, since it uses less digits than its factorization.

101121321756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9824 (or 9815 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

Adding to 101121321756 its reverse (657123121101), we get a palindrome (758244442857).

The spelling of 101121321756 in words is "one hundred one billion, one hundred twenty-one million, three hundred twenty-one thousand, seven hundred fifty-six".