110100102002001 has 12 divisors (see below), whose sum is σ = 168388391297412. Its totient is φ = 69082416942336.

The previous prime is 110100102001973. The next prime is 110100102002047. The reversal of 110100102002001 is 100200201001011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 91499651147025 + 18600450854976 = 9565545^2 + 4312824^2 .

It is not a de Polignac number, because 110100102002001 - 2⁹ = 110100102001489 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 (110100102002081) 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, 359804254756 + ... + 359804255061.

It is an arithmetic number, because the mean of its divisors is an integer number (14032365941451).

Almost surely, 2^{110100102002001} is an apocalyptic number.

It is an amenable number.

110100102002001 is a deficient number, since it is larger than the sum of its proper divisors (58288289295411).

110100102002001 is a wasteful number, since it uses less digits than its factorization.

110100102002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719608509840 (or 719608509837 counting only the distinct ones).

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

Adding to 110100102002001 its reverse (100200201001011), we get a palindrome (210300303003012).

The spelling of 110100102002001 in words is "one hundred ten trillion, one hundred billion, one hundred two million, two thousand, one".