10021002101153 has 2 divisors, whose sum is σ = 10021002101154. Its totient is φ = 10021002101152.

The previous prime is 10021002101141. The next prime is 10021002101171. The reversal of 10021002101153 is 35110120012001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9486541680529 + 534460420624 = 3080023^2 + 731068^2 .

It is an emirp because it is prime and its reverse (35110120012001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10021002101153 - 2²² = 10020997906849 is a prime.

It is a super-2 number, since 2×10021002101153² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10021002101183) 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, 5010501050576 + 5010501050577.

It is an arithmetic number, because the mean of its divisors is an integer number (5010501050577).

Almost surely, 2^{10021002101153} is an apocalyptic number.

It is an amenable number.

10021002101153 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021002101153 is an equidigital number, since it uses as much as digits as its factorization.

10021002101153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 17.

Adding to 10021002101153 its reverse (35110120012001), we get a palindrome (45131122113154).

The spelling of 10021002101153 in words is "ten trillion, twenty-one billion, two million, one hundred one thousand, one hundred fifty-three".