100021667136641 has 2 divisors, whose sum is σ = 100021667136642. Its totient is φ = 100021667136640.

The previous prime is 100021667136613. The next prime is 100021667136661. The reversal of 100021667136641 is 146631766120001.

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., 76478453078416 + 23543214058225 = 8745196^2 + 4852135^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100021667136641 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100021667136592 and 100021667136601.

It is not a weakly prime, because it can be changed into another prime (100021667136661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50010833568320 + 50010833568321.

It is an arithmetic number, because the mean of its divisors is an integer number (50010833568321).

Almost surely, 2^{100021667136641} is an apocalyptic number.

It is an amenable number.

100021667136641 is a deficient number, since it is larger than the sum of its proper divisors (1).

100021667136641 is an equidigital number, since it uses as much as digits as its factorization.

100021667136641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 100021667136641 in words is "one hundred trillion, twenty-one billion, six hundred sixty-seven million, one hundred thirty-six thousand, six hundred forty-one".