100100211100001 has 8 divisors (see below), whose sum is σ = 114502111472064. Its totient is φ = 85723778281680.

The previous prime is 100100211099961. The next prime is 100100211100003. The reversal of 100100211100001 is 100001112001001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100100211100001 - 2⁴² = 95702164588897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100211100003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6366880010 + ... + 6366895731.

It is an arithmetic number, because the mean of its divisors is an integer number (14312763934008).

Almost surely, 2^{100100211100001} is an apocalyptic number.

It is an amenable number.

100100211100001 is a deficient number, since it is larger than the sum of its proper divisors (14401900372063).

100100211100001 is a wasteful number, since it uses less digits than its factorization.

100100211100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12733776871.

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

Adding to 100100211100001 its reverse (100001112001001), we get a palindrome (200101323101002).

The spelling of 100100211100001 in words is "one hundred trillion, one hundred billion, two hundred eleven million, one hundred thousand, one".