100201000101221 has 4 divisors (see below), whose sum is σ = 100780196633772. Its totient is φ = 99621803568672.

The previous prime is 100201000101211. The next prime is 100201000101313. The reversal of 100201000101221 is 122101000102001.

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 87362931950596 + 12838068150625 = 9346814^2 + 3583025^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100201000101221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201000101211) 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, 289598266016 + ... + 289598266361.

It is an arithmetic number, because the mean of its divisors is an integer number (25195049158443).

Almost surely, 2^{100201000101221} is an apocalyptic number.

It is an amenable number.

100201000101221 is a deficient number, since it is larger than the sum of its proper divisors (579196532551).

100201000101221 is an equidigital number, since it uses as much as digits as its factorization.

100201000101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579196532550.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100201000101221 its reverse (122101000102001), we get a palindrome (222302000203222).

The spelling of 100201000101221 in words is "one hundred trillion, two hundred one billion, one hundred one thousand, two hundred twenty-one".