101022766720 has 128 divisors (see below), whose sum is σ = 255930872400. Its totient is φ = 38063800320.

The previous prime is 101022766709. The next prime is 101022766771. The reversal of 101022766720 is 27667220101.

It can be written as a sum of positive squares in 8 ways, for example, as 726410304 + 100296356416 = 26952^2 + 316696^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 694582 + ... + 827338.

Almost surely, 2^101022766720 is an apocalyptic number.

101022766720 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 101022766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127965436200).

101022766720 is an abundant number, since it is smaller than the sum of its proper divisors (154908105680).

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

101022766720 is a wasteful number, since it uses less digits than its factorization.

101022766720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132846 (or 132834 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

Adding to 101022766720 its reverse (27667220101), we get a palindrome (128689986821).

The spelling of 101022766720 in words is "one hundred one billion, twenty-two million, seven hundred sixty-six thousand, seven hundred twenty".