100211121112001 has 4 divisors (see below), whose sum is σ = 100211141686404. Its totient is φ = 100211100537600.

The previous prime is 100211121111931. The next prime is 100211121112013.

100211121112001 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1586340250000 + 98624780862001 = 1259500^2 + 9931001^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211121112001 - 2²² = 100211116917697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100211121112061) 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, 1589081 + ... + 14245961.

It is an arithmetic number, because the mean of its divisors is an integer number (25052785421601).

Almost surely, 2^{100211121112001} is an apocalyptic number.

It is an amenable number.

100211121112001 is a deficient number, since it is larger than the sum of its proper divisors (20574403).

100211121112001 is an equidigital number, since it uses as much as digits as its factorization.

100211121112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20574402.

The product of its (nonzero) digits is 8, while the sum is 14.

The spelling of 100211121112001 in words is "one hundred trillion, two hundred eleven billion, one hundred twenty-one million, one hundred twelve thousand, one".