100201111010221 has 12 divisors (see below), whose sum is σ = 108506848343232. Its totient is φ = 92489025270096.

The previous prime is 100201111010197. The next prime is 100201111010243. The reversal of 100201111010221 is 122010111102001.

It is a happy number.

It is not a de Polignac number, because 100201111010221 - 2²¹ = 100201108913069 is a prime.

It is a super-2 number, since 2×100201111010221² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201111010921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10165551 + ... + 17428156.

It is an arithmetic number, because the mean of its divisors is an integer number (9042237361936).

Almost surely, 2^{100201111010221} is an apocalyptic number.

It is an amenable number.

100201111010221 is a deficient number, since it is larger than the sum of its proper divisors (8305737333011).

100201111010221 is a wasteful number, since it uses less digits than its factorization.

100201111010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27615220 (or 27615207 counting only the distinct ones).

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

Adding to 100201111010221 its reverse (122010111102001), we get a palindrome (222211222112222).

The spelling of 100201111010221 in words is "one hundred trillion, two hundred one billion, one hundred eleven million, ten thousand, two hundred twenty-one".