100100020010261 has 2 divisors, whose sum is σ = 100100020010262. Its totient is φ = 100100020010260.

The previous prime is 100100020010191. The next prime is 100100020010297. The reversal of 100100020010261 is 162010020001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53553036184036 + 46546983826225 = 7317994^2 + 6822535^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100020010261 - 2¹⁴ = 100100019993877 is a prime.

It is a super-3 number, since 3×100100020010261³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100020010461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050010005130 + 50050010005131.

It is an arithmetic number, because the mean of its divisors is an integer number (50050010005131).

Almost surely, 2^{100100020010261} is an apocalyptic number.

It is an amenable number.

100100020010261 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100020010261 is an equidigital number, since it uses as much as digits as its factorization.

100100020010261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100100020010261 its reverse (162010020001001), we get a palindrome (262110040011262).

The spelling of 100100020010261 in words is "one hundred trillion, one hundred billion, twenty million, ten thousand, two hundred sixty-one".