100021971690089 has 2 divisors, whose sum is σ = 100021971690090. Its totient is φ = 100021971690088.

The previous prime is 100021971690073. The next prime is 100021971690103. The reversal of 100021971690089 is 980096179120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98491889278864 + 1530082411225 = 9924308^2 + 1236965^2 .

It is a cyclic number.

It is not a de Polignac number, because 100021971690089 - 2⁴ = 100021971690073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100021971690089.

It is not a weakly prime, because it can be changed into another prime (100021971630089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010985845044 + 50010985845045.

It is an arithmetic number, because the mean of its divisors is an integer number (50010985845045).

Almost surely, 2^{100021971690089} is an apocalyptic number.

It is an amenable number.

100021971690089 is a deficient number, since it is larger than the sum of its proper divisors (1).

100021971690089 is an equidigital number, since it uses as much as digits as its factorization.

100021971690089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 489888, while the sum is 53.

The spelling of 100021971690089 in words is "one hundred trillion, twenty-one billion, nine hundred seventy-one million, six hundred ninety thousand, eighty-nine".