100111010201021 has 2 divisors, whose sum is σ = 100111010201022. Its totient is φ = 100111010201020.

The previous prime is 100111010201011. The next prime is 100111010201063. The reversal of 100111010201021 is 120102010111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75629790578521 + 24481219622500 = 8696539^2 + 4947850^2 .

It is an emirp because it is prime and its reverse (120102010111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100111010201021 - 2³⁸ = 99836132294077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111010200993 and 100111010201011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111010201011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055505100510 + 50055505100511.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505100511).

Almost surely, 2^{100111010201021} is an apocalyptic number.

It is an amenable number.

100111010201021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111010201021 is an equidigital number, since it uses as much as digits as its factorization.

100111010201021 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 11.

Adding to 100111010201021 its reverse (120102010111001), we get a palindrome (220213020312022).

The spelling of 100111010201021 in words is "one hundred trillion, one hundred eleven billion, ten million, two hundred one thousand, twenty-one".