101000221211121 has 16 divisors (see below), whose sum is σ = 139543039426560. Its totient is φ = 64935084810960.

The previous prime is 101000221211083. The next prime is 101000221211161. The reversal of 101000221211121 is 121112122000101.

It is a happy number.

It is not a de Polignac number, because 101000221211121 - 2³⁵ = 100965861472753 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101000221211121.

It is not an unprimeable number, because it can be changed into a prime (101000221211161) 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, 4955353425 + ... + 4955373806.

It is an arithmetic number, because the mean of its divisors is an integer number (8721439964160).

Almost surely, 2^{101000221211121} is an apocalyptic number.

It is an amenable number.

101000221211121 is a deficient number, since it is larger than the sum of its proper divisors (38542818215439).

101000221211121 is an equidigital number, since it uses as much as digits as its factorization.

101000221211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9910727356.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101000221211121 its reverse (121112122000101), we get a palindrome (222112343211222).

The spelling of 101000221211121 in words is "one hundred one trillion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty-one".