201102010100001 has 6 divisors (see below), whose sum is σ = 290480681255570. Its totient is φ = 134068006733328.

The previous prime is 201102010099973. The next prime is 201102010100063. The reversal of 201102010100001 is 100001010201102.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 106390478059776 + 94711532040225 = 10314576^2 + 9731985^2 .

It is not a de Polignac number, because 201102010100001 - 2⁹ = 201102010099489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 22344667788889 = 201102010100001 / (2 + 0 + 1 + 1 + 0 + 2 + 0 + 1 + 0 + 1 + 0 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201102018100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11172333894436 + ... + 11172333894453.

Almost surely, 2^{201102010100001} is an apocalyptic number.

It is an amenable number.

201102010100001 is a deficient number, since it is larger than the sum of its proper divisors (89378671155569).

201102010100001 is a wasteful number, since it uses less digits than its factorization.

201102010100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22344667788895 (or 22344667788892 counting only the distinct ones).

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

Adding to 201102010100001 its reverse (100001010201102), we get a palindrome (301103020301103).

The spelling of 201102010100001 in words is "two hundred one trillion, one hundred two billion, ten million, one hundred thousand, one".