10202121109889 has 2 divisors, whose sum is σ = 10202121109890. Its totient is φ = 10202121109888.

The previous prime is 10202121109877. The next prime is 10202121109933. The reversal of 10202121109889 is 98890112120201.

It is an a-pointer prime, because the next prime (10202121109933) can be obtained adding 10202121109889 to its sum of digits (44).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8852957553664 + 1349163556225 = 2975392^2 + 1161535^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10202121109889 is a prime.

It is a super-2 number, since 2×10202121109889² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10202121109189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101060554944 + 5101060554945.

It is an arithmetic number, because the mean of its divisors is an integer number (5101060554945).

Almost surely, 2^{10202121109889} is an apocalyptic number.

It is an amenable number.

10202121109889 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202121109889 is an equidigital number, since it uses as much as digits as its factorization.

10202121109889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 44.

The spelling of 10202121109889 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, one hundred nine thousand, eight hundred eighty-nine".