100201022212001 has 4 divisors (see below), whose sum is σ = 100201046996100. Its totient is φ = 100200997427904.

The previous prime is 100201022211991. The next prime is 100201022212003. The reversal of 100201022212001 is 100212220102001.

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 99592895181376 + 608127030625 = 9979624^2 + 779825^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100201022212001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100201022212003) 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, 4761356 + ... + 14935613.

It is an arithmetic number, because the mean of its divisors is an integer number (25050261749025).

Almost surely, 2^{100201022212001} is an apocalyptic number.

It is an amenable number.

100201022212001 is a deficient number, since it is larger than the sum of its proper divisors (24784099).

100201022212001 is an equidigital number, since it uses as much as digits as its factorization.

100201022212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24784098.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100201022212001 its reverse (100212220102001), we get a palindrome (200413242314002).

The spelling of 100201022212001 in words is "one hundred trillion, two hundred one billion, twenty-two million, two hundred twelve thousand, one".