10201121109961 has 2 divisors, whose sum is σ = 10201121109962. Its totient is φ = 10201121109960.

The previous prime is 10201121109943. The next prime is 10201121110057. The reversal of 10201121109961 is 16990112110201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9762156558025 + 438964551936 = 3124445^2 + 662544^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201121109961 - 2⁵ = 10201121109929 is a prime.

It is not a weakly prime, because it can be changed into another prime (10201121109061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100560554980 + 5100560554981.

It is an arithmetic number, because the mean of its divisors is an integer number (5100560554981).

Almost surely, 2^{10201121109961} is an apocalyptic number.

It is an amenable number.

10201121109961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201121109961 is an equidigital number, since it uses as much as digits as its factorization.

10201121109961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 34.

The spelling of 10201121109961 in words is "ten trillion, two hundred one billion, one hundred twenty-one million, one hundred nine thousand, nine hundred sixty-one".