100100112121111 has 2 divisors, whose sum is σ = 100100112121112. Its totient is φ = 100100112121110.

The previous prime is 100100112121081. The next prime is 100100112121127. The reversal of 100100112121111 is 111121211001001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100100112121111 - 2¹⁵ = 100100112088343 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100100112121091 and 100100112121100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100112127111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050056060555 + 50050056060556.

It is an arithmetic number, because the mean of its divisors is an integer number (50050056060556).

Almost surely, 2^{100100112121111} is an apocalyptic number.

100100112121111 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100112121111 is an equidigital number, since it uses as much as digits as its factorization.

100100112121111 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 100100112121111 its reverse (111121211001001), we get a palindrome (211221323122112).

The spelling of 100100112121111 in words is "one hundred trillion, one hundred billion, one hundred twelve million, one hundred twenty-one thousand, one hundred eleven".