100111001120021 has 2 divisors, whose sum is σ = 100111001120022. Its totient is φ = 100111001120020.

The previous prime is 100111001120003. The next prime is 100111001120147. The reversal of 100111001120021 is 120021100111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83691575856100 + 16419425263921 = 9148310^2 + 4052089^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111001120021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111001119984 and 100111001120011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111001170021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055500560010 + 50055500560011.

It is an arithmetic number, because the mean of its divisors is an integer number (50055500560011).

Almost surely, 2^{100111001120021} is an apocalyptic number.

It is an amenable number.

100111001120021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111001120021 is an equidigital number, since it uses as much as digits as its factorization.

100111001120021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100111001120021 its reverse (120021100111001), we get a palindrome (220132101231022).

It can be divided in two parts, 100111001 and 120021, that multiplied together give a palindrome (12015422451021).

The spelling of 100111001120021 in words is "one hundred trillion, one hundred eleven billion, one million, one hundred twenty thousand, twenty-one".