100100010701 has 2 divisors, whose sum is σ = 100100010702. Its totient is φ = 100100010700.

The previous prime is 100100010653. The next prime is 100100010823. The reversal of 100100010701 is 107010001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77868902500 + 22231108201 = 279050^2 + 149101^2 .

It is an emirp because it is prime and its reverse (107010001001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100100010701 - 2³⁴ = 82920141517 is a prime.

It is a super-2 number, since 2×100100010701² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100210701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050005350 + 50050005351.

It is an arithmetic number, because the mean of its divisors is an integer number (50050005351).

Almost surely, 2^100100010701 is an apocalyptic number.

It is an amenable number.

100100010701 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100010701 is an equidigital number, since it uses as much as digits as its factorization.

100100010701 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 11.

Adding to 100100010701 its reverse (107010001001), we get a palindrome (207110011702).

The spelling of 100100010701 in words is "one hundred billion, one hundred million, ten thousand, seven hundred one".