100012100002001 has 32 divisors (see below), whose sum is σ = 110418883344000. Its totient is φ = 89828481600000.

The previous prime is 100012100001973. The next prime is 100012100002007. The reversal of 100012100002001 is 100200001210001.

It is not a de Polignac number, because 100012100002001 - 2¹⁸ = 100012099739857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100012100002001.

It is not an unprimeable number, because it can be changed into a prime (100012100002007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1001062151 + ... + 1001162051.

It is an arithmetic number, because the mean of its divisors is an integer number (3450590104500).

Almost surely, 2^{100012100002001} is an apocalyptic number.

100012100002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100012100002001 is a deficient number, since it is larger than the sum of its proper divisors (10406783341999).

100012100002001 is a wasteful number, since it uses less digits than its factorization.

100012100002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101921.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100012100002001 its reverse (100200001210001), we get a palindrome (200212101212002).

The spelling of 100012100002001 in words is "one hundred trillion, twelve billion, one hundred million, two thousand, one".