100221121120021 has 16 divisors (see below), whose sum is σ = 110465725363776. Its totient is φ = 90166284000000.

The previous prime is 100221121120009. The next prime is 100221121120051. The reversal of 100221121120021 is 120021121122001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100221121120021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100221121119977 and 100221121120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221121120051) 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, 18470955 + ... + 23272696.

It is an arithmetic number, because the mean of its divisors is an integer number (6904107835236).

Almost surely, 2^{100221121120021} is an apocalyptic number.

100221121120021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100221121120021 is a deficient number, since it is larger than the sum of its proper divisors (10244604243755).

100221121120021 is a wasteful number, since it uses less digits than its factorization.

100221121120021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41745924.

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

Adding to 100221121120021 its reverse (120021121122001), we get a palindrome (220242242242022).

The spelling of 100221121120021 in words is "one hundred trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty thousand, twenty-one".