101780636872321 has 27 divisors (see below), whose sum is σ = 118075068330849. Its totient is φ = 87656148815400.

The previous prime is 101780636872307. The next prime is 101780636872363. The reversal of 101780636872321 is 123278636087101.

The square root of 101780636872321 is 10088639.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 101780636872321 - 2¹¹ = 101780636870273 is a prime.

It is a super-2 number, since 2×101780636872321² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101780636878321) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2108501416 + ... + 2108549686.

Almost surely, 2^{101780636872321} is an apocalyptic number.

101780636872321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101780636872321 is the 10088639-th square number.

101780636872321 is the 5044320-th centered octagonal number.

It is an amenable number.

101780636872321 is a deficient number, since it is larger than the sum of its proper divisors (16294431458528).

101780636872321 is an frugal number, since it uses more digits than its factorization.

101780636872321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96602 (or 48301 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 55.

The spelling of 101780636872321 in words is "one hundred one trillion, seven hundred eighty billion, six hundred thirty-six million, eight hundred seventy-two thousand, three hundred twenty-one".