110001101002001 has 12 divisors (see below), whose sum is σ = 122107432809012. Its totient is φ = 99010891980000.

The previous prime is 110001101001943. The next prime is 110001101002003. The reversal of 110001101002001 is 100200101100011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 55998297206401 + 54002803795600 = 7483201^2 + 7348660^2 .

It is not a de Polignac number, because 110001101002001 - 2¹⁸ = 110001100739857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 110001101002001.

It is not an unprimeable number, because it can be changed into a prime (110001101002003) 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, 4500482870 + ... + 4500507311.

It is an arithmetic number, because the mean of its divisors is an integer number (10175619400751).

Almost surely, 2^{110001101002001} is an apocalyptic number.

110001101002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110001101002001 is a deficient number, since it is larger than the sum of its proper divisors (12106331807011).

110001101002001 is a wasteful number, since it uses less digits than its factorization.

110001101002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9000990304 (or 9000990293 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 110001101002001 its reverse (100200101100011), we get a palindrome (210201202102012).

The spelling of 110001101002001 in words is "one hundred ten trillion, one billion, one hundred one million, two thousand, one".