10001100101401 has 2 divisors, whose sum is σ = 10001100101402. Its totient is φ = 10001100101400.

The previous prime is 10001100101381. The next prime is 10001100101437. The reversal of 10001100101401 is 10410100110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9614836608400 + 386263493001 = 3100780^2 + 621501^2 .

It is an emirp because it is prime and its reverse (10410100110001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10001100101401 - 2¹⁵ = 10001100068633 is a prime.

It is a super-3 number, since 3×10001100101401³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10001100105401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000550050700 + 5000550050701.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550050701).

Almost surely, 2^{10001100101401} is an apocalyptic number.

It is an amenable number.

10001100101401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001100101401 is an equidigital number, since it uses as much as digits as its factorization.

10001100101401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10001100101401 its reverse (10410100110001), we get a palindrome (20411200211402).

The spelling of 10001100101401 in words is "ten trillion, one billion, one hundred million, one hundred one thousand, four hundred one".