201106006101 has 48 divisors (see below), whose sum is σ = 390023786880. Its totient is φ = 96434444160.

The previous prime is 201106006091. The next prime is 201106006117. The reversal of 201106006101 is 101600601102.

201106006101 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 0 + 600 + 61 + 0 + 1 = 666.

It is not a de Polignac number, because 201106006101 - 2¹⁹ = 201105481813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201106006121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11152386 + ... + 11170403.

It is an arithmetic number, because the mean of its divisors is an integer number (8125495560).

Almost surely, 2^201106006101 is an apocalyptic number.

201106006101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201106006101 is a deficient number, since it is larger than the sum of its proper divisors (188917780779).

201106006101 is a wasteful number, since it uses less digits than its factorization.

201106006101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22322826 (or 22322823 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 201106006101 its reverse (101600601102), we get a palindrome (302706607203).

The spelling of 201106006101 in words is "two hundred one billion, one hundred six million, six thousand, one hundred one".