100001011012001 has 16 divisors (see below), whose sum is σ = 110632523683968. Its totient is φ = 89626342982400.

The previous prime is 100001011011989. The next prime is 100001011012127. The reversal of 100001011012001 is 100210110100001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100001011012001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100001011012001.

It is not an unprimeable number, because it can be changed into a prime (100001011018001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19402835 + ... + 24009831.

It is an arithmetic number, because the mean of its divisors is an integer number (6914532730248).

Almost surely, 2^{100001011012001} is an apocalyptic number.

100001011012001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001011012001 is a deficient number, since it is larger than the sum of its proper divisors (10631512671967).

100001011012001 is a wasteful number, since it uses less digits than its factorization.

100001011012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4634872.

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

Adding to 100001011012001 its reverse (100210110100001), we get a palindrome (200211121112002).

The spelling of 100001011012001 in words is "one hundred trillion, one billion, eleven million, twelve thousand, one".