100011010102001 has 4 divisors (see below), whose sum is σ = 100011030141504. Its totient is φ = 100010990062500.

The previous prime is 100011010101941. The next prime is 100011010102007. The reversal of 100011010102001 is 100201010110001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100011010102001 - 2¹⁸ = 100011009839857 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100011010102001.

It is not an unprimeable number, because it can be changed into a prime (100011010102007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4079876 + ... + 14719626.

It is an arithmetic number, because the mean of its divisors is an integer number (25002757535376).

Almost surely, 2^{100011010102001} is an apocalyptic number.

It is an amenable number.

100011010102001 is a deficient number, since it is larger than the sum of its proper divisors (20039503).

100011010102001 is an equidigital number, since it uses as much as digits as its factorization.

100011010102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20039502.

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

Adding to 100011010102001 its reverse (100201010110001), we get a palindrome (200212020212002).

The spelling of 100011010102001 in words is "one hundred trillion, eleven billion, ten million, one hundred two thousand, one".