100221102001121 has 16 divisors (see below), whose sum is σ = 100412856578880. Its totient is φ = 100029572697600.

The previous prime is 100221102001081. The next prime is 100221102001127. The reversal of 100221102001121 is 121100201122001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100221102001121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100221102001096 and 100221102001105.

It is not an unprimeable number, because it can be changed into a prime (100221102001127) 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, 7203407261 + ... + 7203421173.

It is an arithmetic number, because the mean of its divisors is an integer number (6275803536180).

Almost surely, 2^{100221102001121} is an apocalyptic number.

It is an amenable number.

100221102001121 is a deficient number, since it is larger than the sum of its proper divisors (191754577759).

100221102001121 is a wasteful number, since it uses less digits than its factorization.

100221102001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21056.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100221102001121 its reverse (121100201122001), we get a palindrome (221321303123122).

The spelling of 100221102001121 in words is "one hundred trillion, two hundred twenty-one billion, one hundred two million, one thousand, one hundred twenty-one".