100111000001021 has 2 divisors, whose sum is σ = 100111000001022. Its totient is φ = 100111000001020.

The previous prime is 100111000000997. The next prime is 100111000001041. The reversal of 100111000001021 is 120100000111001.

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., 93769416938521 + 6341583062500 = 9683461^2 + 2518250^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111000001021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111000001041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055500000510 + 50055500000511.

It is an arithmetic number, because the mean of its divisors is an integer number (50055500000511).

Almost surely, 2^{100111000001021} is an apocalyptic number.

It is an amenable number.

100111000001021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111000001021 is an equidigital number, since it uses as much as digits as its factorization.

100111000001021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100111000001021 its reverse (120100000111001), we get a palindrome (220211000112022).

The spelling of 100111000001021 in words is "one hundred trillion, one hundred eleven billion, one thousand, twenty-one".