10002020102029 has 2 divisors, whose sum is σ = 10002020102030. Its totient is φ = 10002020102028.

The previous prime is 10002020101963. The next prime is 10002020102089. The reversal of 10002020102029 is 92020102020001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8768527768900 + 1233492333129 = 2961170^2 + 1110627^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002020102029 - 2⁹ = 10002020101517 is a prime.

It is a super-2 number, since 2×10002020102029² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10002020101997 and 10002020102015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002020102089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001010051014 + 5001010051015.

It is an arithmetic number, because the mean of its divisors is an integer number (5001010051015).

Almost surely, 2^{10002020102029} is an apocalyptic number.

It is an amenable number.

10002020102029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002020102029 is an equidigital number, since it uses as much as digits as its factorization.

10002020102029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

The spelling of 10002020102029 in words is "ten trillion, two billion, twenty million, one hundred two thousand, twenty-nine".