101100521918880 has 576 divisors, whose sum is σ = 398608383229056. Its totient is φ = 23061749760000.

The previous prime is 101100521918857. The next prime is 101100521918881. The reversal of 101100521918880 is 88819125001101.

101100521918880 is a `hidden beast` number, since 1 + 0 + 1 + 100 + 521 + 9 + 18 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (101100521918881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1131200595 + ... + 1131289965.

It is an arithmetic number, because the mean of its divisors is an integer number (692028443106).

Almost surely, 2^{101100521918880} is an apocalyptic number.

101100521918880 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 101100521918880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199304191614528).

101100521918880 is an abundant number, since it is smaller than the sum of its proper divisors (297507861310176).

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

101100521918880 is a wasteful number, since it uses less digits than its factorization.

101100521918880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93621 (or 93610 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 45.

Adding to 101100521918880 its reverse (88819125001101), we get a palindrome (189919646919981).

The spelling of 101100521918880 in words is "one hundred one trillion, one hundred billion, five hundred twenty-one million, nine hundred eighteen thousand, eight hundred eighty".