110101102010001 has 40 divisors (see below), whose sum is σ = 174148387369704. Its totient is φ = 69082430999040.

The previous prime is 110101102009907. The next prime is 110101102010021. The reversal of 110101102010001 is 100010201101011.

It can be written as a sum of positive squares in 4 ways, for example, as 54190563307776 + 55910538702225 = 7361424^2 + 7477335^2 .

It is not a de Polignac number, because 110101102010001 - 2⁴² = 105703055498897 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (110101102010021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 193019851 + ... + 193589423.

Almost surely, 2^{110101102010001} is an apocalyptic number.

It is an amenable number.

110101102010001 is a deficient number, since it is larger than the sum of its proper divisors (64047285359703).

110101102010001 is a wasteful number, since it uses less digits than its factorization.

110101102010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709983 (or 709974 counting only the distinct ones).

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

Adding to 110101102010001 its reverse (100010201101011), we get a palindrome (210111303111012).

The spelling of 110101102010001 in words is "one hundred ten trillion, one hundred one billion, one hundred two million, ten thousand, one".