100211210002001 has 16 divisors (see below), whose sum is σ = 114571589491584. Its totient is φ = 85861959085824.

The previous prime is 100211210001869. The next prime is 100211210002003. The reversal of 100211210002001 is 100200012112001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100211210002001 is a prime.

It is a super-2 number, since 2×100211210002001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100211210002003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225071066 + ... + 225515868.

It is an arithmetic number, because the mean of its divisors is an integer number (7160724343224).

Almost surely, 2^{100211210002001} is an apocalyptic number.

It is an amenable number.

100211210002001 is a deficient number, since it is larger than the sum of its proper divisors (14360379489583).

100211210002001 is an equidigital number, since it uses as much as digits as its factorization.

100211210002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457240.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100211210002001 its reverse (100200012112001), we get a palindrome (200411222114002).

The spelling of 100211210002001 in words is "one hundred trillion, two hundred eleven billion, two hundred ten million, two thousand, one".