100211221222001 has 8 divisors (see below), whose sum is σ = 100311695474760. Its totient is φ = 100110753672192.

The previous prime is 100211221221967. The next prime is 100211221222009. The reversal of 100211221222001 is 100222122112001.

It can be written as a sum of positive squares in 4 ways, for example, as 25972732359025 + 74238488862976 = 5096345^2 + 8616176^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100211221222001 - 2²² = 100211217027697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100211221222009) 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, 28512281 + ... + 31833513.

It is an arithmetic number, because the mean of its divisors is an integer number (12538961934345).

Almost surely, 2^{100211221222001} is an apocalyptic number.

It is an amenable number.

100211221222001 is a deficient number, since it is larger than the sum of its proper divisors (100474252759).

100211221222001 is a wasteful number, since it uses less digits than its factorization.

100211221222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351475.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100211221222001 its reverse (100222122112001), we get a palindrome (200433343334002).

The spelling of 100211221222001 in words is "one hundred trillion, two hundred eleven billion, two hundred twenty-one million, two hundred twenty-two thousand, one".