201000020101101 has 96 divisors (see below), whose sum is σ = 321619585603680. Its totient is φ = 120176527564800.

The previous prime is 201000020101093. The next prime is 201000020101147. The reversal of 201000020101101 is 101101020000102.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 196124199669225 + 4875820431876 = 14004435^2 + 2208126^2 .

It is not a de Polignac number, because 201000020101101 - 2³ = 201000020101093 is a prime.

It is a super-2 number, since 2×201000020101101² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201000020101501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1149029095 + ... + 1149204011.

It is an arithmetic number, because the mean of its divisors is an integer number (3350204016705).

Almost surely, 2^{201000020101101} is an apocalyptic number.

It is an amenable number.

201000020101101 is a deficient number, since it is larger than the sum of its proper divisors (120619565502579).

201000020101101 is a wasteful number, since it uses less digits than its factorization.

201000020101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175967 (or 175964 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201000020101101 its reverse (101101020000102), we get a palindrome (302101040101203).

The spelling of 201000020101101 in words is "two hundred one trillion, twenty million, one hundred one thousand, one hundred one".