100121201111121 has 32 divisors (see below), whose sum is σ = 135147329356032. Its totient is φ = 65925440071680.

The previous prime is 100121201111101. The next prime is 100121201111131. The reversal of 100121201111121 is 121111102121001.

It is a de Polignac number, because none of the positive numbers 2^k-100121201111121 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100121201111121.

It is not an unprimeable number, because it can be changed into a prime (100121201111101) 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 31 ways as a sum of consecutive naturals, for example, 1418453596 + ... + 1418524178.

It is an arithmetic number, because the mean of its divisors is an integer number (4223354042376).

Almost surely, 2^{100121201111121} is an apocalyptic number.

It is an amenable number.

100121201111121 is a deficient number, since it is larger than the sum of its proper divisors (35026128244911).

100121201111121 is a wasteful number, since it uses less digits than its factorization.

100121201111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85273.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 100121201111121 its reverse (121111102121001), we get a palindrome (221232303232122).

The spelling of 100121201111121 in words is "one hundred trillion, one hundred twenty-one billion, two hundred one million, one hundred eleven thousand, one hundred twenty-one".