10102101102029 has 2 divisors, whose sum is σ = 10102101102030. Its totient is φ = 10102101102028.

The previous prime is 10102101102011. The next prime is 10102101102059. The reversal of 10102101102029 is 92020110120101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8761611840004 + 1340489262025 = 2960002^2 + 1157795^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102101102029 - 2⁸ = 10102101101773 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10102101102029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102101102059) 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, 5051050551014 + 5051050551015.

It is an arithmetic number, because the mean of its divisors is an integer number (5051050551015).

Almost surely, 2^{10102101102029} is an apocalyptic number.

It is an amenable number.

10102101102029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102101102029 is an equidigital number, since it uses as much as digits as its factorization.

10102101102029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 10102101102029 in words is "ten trillion, one hundred two billion, one hundred one million, one hundred two thousand, twenty-nine".