101022201021961 has 2 divisors, whose sum is σ = 101022201021962. Its totient is φ = 101022201021960.

The previous prime is 101022201021953. The next prime is 101022201021983. The reversal of 101022201021961 is 169120102220101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87297628622400 + 13724572399561 = 9343320^2 + 3704669^2 .

It is an emirp because it is prime and its reverse (169120102220101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101022201021961 - 2³ = 101022201021953 is a prime.

It is a super-2 number, since 2×101022201021961² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101022201021991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511100510980 + 50511100510981.

It is an arithmetic number, because the mean of its divisors is an integer number (50511100510981).

Almost surely, 2^{101022201021961} is an apocalyptic number.

It is an amenable number.

101022201021961 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022201021961 is an equidigital number, since it uses as much as digits as its factorization.

101022201021961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 28.

The spelling of 101022201021961 in words is "one hundred one trillion, twenty-two billion, two hundred one million, twenty-one thousand, nine hundred sixty-one".