101027986801 has 27 divisors (see below), whose sum is σ = 124888840587. Its totient is φ = 81471055680.

The previous prime is 101027986777. The next prime is 101027986831. The reversal of 101027986801 is 108689720101.

It is a happy number.

The square root of 101027986801 is 317849.

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

It can be written as a sum of positive squares in only one way, i.e., 78655007025 + 22372979776 = 280455^2 + 149576^2 .

It is not a de Polignac number, because 101027986801 - 2¹⁵ = 101027954033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101027986831) 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, 37822696 + ... + 37825366.

Almost surely, 2^101027986801 is an apocalyptic number.

101027986801 is the 317849-th square number.

101027986801 is the 158925-th centered octagonal number.

It is an amenable number.

101027986801 is a deficient number, since it is larger than the sum of its proper divisors (23860853786).

101027986801 is an frugal number, since it uses more digits than its factorization.

101027986801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5390 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 43.

The spelling of 101027986801 in words is "one hundred one billion, twenty-seven million, nine hundred eighty-six thousand, eight hundred one".