100072052021 has 2 divisors, whose sum is σ = 100072052022. Its totient is φ = 100072052020.

The previous prime is 100072051999. The next prime is 100072052027. The reversal of 100072052021 is 120250270001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70217050225 + 29855001796 = 264985^2 + 172786^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100072052021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100072051984 and 100072052002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100072052027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50036026010 + 50036026011.

It is an arithmetic number, because the mean of its divisors is an integer number (50036026011).

Almost surely, 2^100072052021 is an apocalyptic number.

It is an amenable number.

100072052021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100072052021 is an equidigital number, since it uses as much as digits as its factorization.

100072052021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 280, while the sum is 20.

The spelling of 100072052021 in words is "one hundred billion, seventy-two million, fifty-two thousand, twenty-one".