10000201099961 has 2 divisors, whose sum is σ = 10000201099962. Its totient is φ = 10000201099960.

The previous prime is 10000201099949. The next prime is 10000201100003. The reversal of 10000201099961 is 16999010200001.

10000201099961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5118200374336 + 4882000725625 = 2262344^2 + 2209525^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000201099961 - 2⁴² = 5602154588857 is a prime.

It is a super-2 number, since 2×10000201099961² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10000201099921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000100549980 + 5000100549981.

It is an arithmetic number, because the mean of its divisors is an integer number (5000100549981).

Almost surely, 2^{10000201099961} is an apocalyptic number.

It is an amenable number.

10000201099961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000201099961 is an equidigital number, since it uses as much as digits as its factorization.

10000201099961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8748, while the sum is 38.

Adding to 10000201099961 its reverse (16999010200001), we get a palindrome (26999211299962).

The spelling of 10000201099961 in words is "ten trillion, two hundred one million, ninety-nine thousand, nine hundred sixty-one".