100221211012201 has 8 divisors (see below), whose sum is σ = 102735611110440. Its totient is φ = 97737662449152.

The previous prime is 100221211012171. The next prime is 100221211012211. The reversal of 100221211012201 is 102210112122001.

It can be written as a sum of positive squares in 4 ways, for example, as 25970245402201 + 74250965610000 = 5096101^2 + 8616900^2 .

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 100221211012201 - 2²⁵ = 100221177457769 is a prime.

It is a super-2 number, since 2×100221211012201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100221211012211) 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, 7712877220 + ... + 7712890213.

It is an arithmetic number, because the mean of its divisors is an integer number (12841951388805).

Almost surely, 2^{100221211012201} is an apocalyptic number.

It is an amenable number.

100221211012201 is a deficient number, since it is larger than the sum of its proper divisors (2514400098239).

100221211012201 is an equidigital number, since it uses as much as digits as its factorization.

100221211012201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15425767595.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100221211012201 its reverse (102210112122001), we get a palindrome (202431323134202).

The spelling of 100221211012201 in words is "one hundred trillion, two hundred twenty-one billion, two hundred eleven million, twelve thousand, two hundred one".