100111001121121 has 2 divisors, whose sum is σ = 100111001121122. Its totient is φ = 100111001121120.

The previous prime is 100111001121107. The next prime is 100111001121137. The reversal of 100111001121121 is 121121100111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95050800360000 + 5060200761121 = 9749400^2 + 2249489^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111001121121 - 2¹³ = 100111001112929 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111001121721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055500560560 + 50055500560561.

It is an arithmetic number, because the mean of its divisors is an integer number (50055500560561).

Almost surely, 2^{100111001121121} is an apocalyptic number.

It is an amenable number.

100111001121121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111001121121 is an equidigital number, since it uses as much as digits as its factorization.

100111001121121 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 100111001121121 its reverse (121121100111001), we get a palindrome (221232101232122).

It can be divided in two parts, 100111001 and 121121, that multiplied together give a palindrome (12125544552121).

The spelling of 100111001121121 in words is "one hundred trillion, one hundred eleven billion, one million, one hundred twenty-one thousand, one hundred twenty-one".