100011120102121 has 2 divisors, whose sum is σ = 100011120102122. Its totient is φ = 100011120102120.

The previous prime is 100011120102097. The next prime is 100011120102217. The reversal of 100011120102121 is 121201021110001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89172137610000 + 10838982492121 = 9443100^2 + 3292261^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011120102121 - 2¹⁵ = 100011120069353 is a prime.

It is not a weakly prime, because it can be changed into another prime (100011120102521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005560051060 + 50005560051061.

It is an arithmetic number, because the mean of its divisors is an integer number (50005560051061).

Almost surely, 2^{100011120102121} is an apocalyptic number.

It is an amenable number.

100011120102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011120102121 is an equidigital number, since it uses as much as digits as its factorization.

100011120102121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100011120102121 its reverse (121201021110001), we get a palindrome (221212141212122).

The spelling of 100011120102121 in words is "one hundred trillion, eleven billion, one hundred twenty million, one hundred two thousand, one hundred twenty-one".