10100121112221 has 16 divisors (see below), whose sum is σ = 15390735964800. Its totient is φ = 5771469570048.

The previous prime is 10100121112201. The next prime is 10100121112267. The reversal of 10100121112221 is 12221112100101.

It is a happy number.

It is not a de Polignac number, because 10100121112221 - 2²⁶ = 10100054003357 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100121112221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100121112201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3692445 + ... + 5816733.

It is an arithmetic number, because the mean of its divisors is an integer number (961920997800).

Almost surely, 2^{10100121112221} is an apocalyptic number.

It is an amenable number.

10100121112221 is a deficient number, since it is larger than the sum of its proper divisors (5290614852579).

10100121112221 is a wasteful number, since it uses less digits than its factorization.

10100121112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350708.

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

Adding to 10100121112221 its reverse (12221112100101), we get a palindrome (22321233212322).

The spelling of 10100121112221 in words is "ten trillion, one hundred billion, one hundred twenty-one million, one hundred twelve thousand, two hundred twenty-one".