110101201010001 has 12 divisors (see below), whose sum is σ = 159423906928260. Its totient is φ = 73221336610560.

The previous prime is 110101201009999. The next prime is 110101201010057. The reversal of 110101201010001 is 100010102101011.

It can be written as a sum of positive squares in 2 ways, for example, as 106771302320400 + 3329898689601 = 10333020^2 + 1824801^2 .

It is not a de Polignac number, because 110101201010001 - 2¹ = 110101201009999 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (110101201010201) 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, 14955334680 + ... + 14955342041.

It is an arithmetic number, because the mean of its divisors is an integer number (13285325577355).

Almost surely, 2^{110101201010001} is an apocalyptic number.

It is an amenable number.

110101201010001 is a deficient number, since it is larger than the sum of its proper divisors (49322705918259).

110101201010001 is a wasteful number, since it uses less digits than its factorization.

110101201010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29910677136 (or 29910677133 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110101201010001 its reverse (100010102101011), we get a palindrome (210111303111012).

The spelling of 110101201010001 in words is "one hundred ten trillion, one hundred one billion, two hundred one million, ten thousand, one".