201100102101 has 12 divisors (see below), whose sum is σ = 293741723340. Its totient is φ = 132560366400.

The previous prime is 201100102079. The next prime is 201100102103. The reversal of 201100102101 is 101201001102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 92021829201 + 109078272900 = 303351^2 + 330270^2 .

It is not a de Polignac number, because 201100102101 - 2⁹ = 201100101589 is a prime.

It is a super-2 number, since 2×201100102101² (a number of 23 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 (201100102103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125529850 + ... + 125531451.

It is an arithmetic number, because the mean of its divisors is an integer number (24478476945).

Almost surely, 2^201100102101 is an apocalyptic number.

It is an amenable number.

201100102101 is a deficient number, since it is larger than the sum of its proper divisors (92641621239).

201100102101 is a wasteful number, since it uses less digits than its factorization.

201100102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251061396 (or 251061393 counting only the distinct ones).

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

Adding to 201100102101 its reverse (101201001102), we get a palindrome (302301103203).

The spelling of 201100102101 in words is "two hundred one billion, one hundred million, one hundred two thousand, one hundred one".