100121212111121 has 16 divisors (see below), whose sum is σ = 101684342760000. Its totient is φ = 98563281643008.

The previous prime is 100121212111099. The next prime is 100121212111169. The reversal of 100121212111121 is 121111212121001.

It is a cyclic number.

It is not a de Polignac number, because 100121212111121 - 2⁴² = 95723165600017 is a prime.

It is a super-2 number, since 2×100121212111121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100121212111121.

It is not an unprimeable number, because it can be changed into a prime (100121212111721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 768566690 + ... + 768696948.

It is an arithmetic number, because the mean of its divisors is an integer number (6355271422500).

Almost surely, 2^{100121212111121} is an apocalyptic number.

It is an amenable number.

100121212111121 is a deficient number, since it is larger than the sum of its proper divisors (1563130648879).

100121212111121 is a wasteful number, since it uses less digits than its factorization.

100121212111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150128.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 100121212111121 its reverse (121111212121001), we get a palindrome (221232424232122).

The spelling of 100121212111121 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twelve million, one hundred eleven thousand, one hundred twenty-one".