10202012029961 has 2 divisors, whose sum is σ = 10202012029962. Its totient is φ = 10202012029960.

The previous prime is 10202012029927. The next prime is 10202012029969. The reversal of 10202012029961 is 16992021020201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7698022269961 + 2503989760000 = 2774531^2 + 1582400^2 .

It is an emirp because it is prime and its reverse (16992021020201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10202012029961 - 2²⁶ = 10201944921097 is a prime.

It is not a weakly prime, because it can be changed into another prime (10202012029969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101006014980 + 5101006014981.

It is an arithmetic number, because the mean of its divisors is an integer number (5101006014981).

Almost surely, 2^{10202012029961} is an apocalyptic number.

It is an amenable number.

10202012029961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202012029961 is an equidigital number, since it uses as much as digits as its factorization.

10202012029961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 35.

The spelling of 10202012029961 in words is "ten trillion, two hundred two billion, twelve million, twenty-nine thousand, nine hundred sixty-one".