10100000109961 has 2 divisors, whose sum is σ = 10100000109962. Its totient is φ = 10100000109960.

The previous prime is 10100000109923. The next prime is 10100000110019. The reversal of 10100000109961 is 16990100000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9391803806025 + 708196303936 = 3064605^2 + 841544^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100000109961 - 2⁷ = 10100000109833 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100000109361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000054980 + 5050000054981.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000054981).

Almost surely, 2^{10100000109961} is an apocalyptic number.

It is an amenable number.

10100000109961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100000109961 is an equidigital number, since it uses as much as digits as its factorization.

10100000109961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 28.

The spelling of 10100000109961 in words is "ten trillion, one hundred billion, one hundred nine thousand, nine hundred sixty-one".