100211100122121 has 16 divisors (see below), whose sum is σ = 133716219626304. Its totient is φ = 66756707630784.

The previous prime is 100211100122093. The next prime is 100211100122129. The reversal of 100211100122121 is 121221001112001.

It is a happy number.

It is not a de Polignac number, because 100211100122121 - 2⁹ = 100211100121609 is a prime.

It is a super-2 number, since 2×100211100122121² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100211100122121.

It is not an unprimeable number, because it can be changed into a prime (100211100122129) 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, 21069906 + ... + 25384308.

It is an arithmetic number, because the mean of its divisors is an integer number (8357263726644).

Almost surely, 2^{100211100122121} is an apocalyptic number.

It is an amenable number.

100211100122121 is a deficient number, since it is larger than the sum of its proper divisors (33505119504183).

100211100122121 is a wasteful number, since it uses less digits than its factorization.

100211100122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320280.

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

Adding to 100211100122121 its reverse (121221001112001), we get a palindrome (221432101234122).

The spelling of 100211100122121 in words is "one hundred trillion, two hundred eleven billion, one hundred million, one hundred twenty-two thousand, one hundred twenty-one".