100111200121081 has 2 divisors, whose sum is σ = 100111200121082. Its totient is φ = 100111200121080.

The previous prime is 100111200121057. The next prime is 100111200121103. The reversal of 100111200121081 is 180121002111001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98100308793600 + 2010891327481 = 9904560^2 + 1418059^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111200121081 is a prime.

It is a super-4 number, since 4×100111200121081⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (100111200124081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055600060540 + 50055600060541.

It is an arithmetic number, because the mean of its divisors is an integer number (50055600060541).

Almost surely, 2^{100111200121081} is an apocalyptic number.

It is an amenable number.

100111200121081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111200121081 is an equidigital number, since it uses as much as digits as its factorization.

100111200121081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 100111200121081 its reverse (180121002111001), we get a palindrome (280232202232082).

The spelling of 100111200121081 in words is "one hundred trillion, one hundred eleven billion, two hundred million, one hundred twenty-one thousand, eighty-one".