101856084201 has 15 divisors (see below), whose sum is σ = 152159675943. Its totient is φ = 67902141240.

The previous prime is 101856084199. The next prime is 101856084229. The reversal of 101856084201 is 102480658101.

The square root of 101856084201 is 319149.

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

101856084201 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 5 + 608 + 42 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40421504601 + 61434579600 = 201051^2 + 247860^2 .

It is not a de Polignac number, because 101856084201 - 2¹ = 101856084199 is a prime.

It is a super-2 number, since 2×101856084201² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101856084901) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2854611 + ... + 2890071.

Almost surely, 2^101856084201 is an apocalyptic number.

101856084201 is the 319149-th square number.

101856084201 is the 159575-th centered octagonal number.

It is an amenable number.

101856084201 is a deficient number, since it is larger than the sum of its proper divisors (50303591742).

101856084201 is an frugal number, since it uses more digits than its factorization.

101856084201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70934 (or 35464 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

Multiplying 101856084201 by its sum of digits (36), we get a square (3666819031236 = 1914894²).

The spelling of 101856084201 in words is "one hundred one billion, eight hundred fifty-six million, eighty-four thousand, two hundred one".