101820271776 has 144 divisors (see below), whose sum is σ = 278650798272. Its totient is φ = 32551249920.

The previous prime is 101820271741. The next prime is 101820271789. The reversal of 101820271776 is 677172028101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10420045 + ... + 10429811.

It is an arithmetic number, because the mean of its divisors is an integer number (1935074988).

Almost surely, 2^101820271776 is an apocalyptic number.

101820271776 is a gapful number since it is divisible by the number (16) 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 101820271776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139325399136).

101820271776 is an abundant number, since it is smaller than the sum of its proper divisors (176830526496).

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

101820271776 is a wasteful number, since it uses less digits than its factorization.

101820271776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9955 (or 9916 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 42.

Adding to 101820271776 its reverse (677172028101), we get a palindrome (778992299877).

The spelling of 101820271776 in words is "one hundred one billion, eight hundred twenty million, two hundred seventy-one thousand, seven hundred seventy-six".