100221011011201 has 16 divisors (see below), whose sum is σ = 105860626516480. Its totient is φ = 94731845967360.

The previous prime is 100221011011193. The next prime is 100221011011241. The reversal of 100221011011201 is 102110110122001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100221011011201 - 2³ = 100221011011193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100221011011241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341353201 + ... + 341646673.

It is an arithmetic number, because the mean of its divisors is an integer number (6616289157280).

Almost surely, 2^{100221011011201} is an apocalyptic number.

It is an amenable number.

100221011011201 is a deficient number, since it is larger than the sum of its proper divisors (5639615505279).

100221011011201 is a wasteful number, since it uses less digits than its factorization.

100221011011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549736.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100221011011201 its reverse (102110110122001), we get a palindrome (202331121133202).

The spelling of 100221011011201 in words is "one hundred trillion, two hundred twenty-one billion, eleven million, eleven thousand, two hundred one".