10102101890129 has 2 divisors, whose sum is σ = 10102101890130. Its totient is φ = 10102101890128.

The previous prime is 10102101890119. The next prime is 10102101890141. The reversal of 10102101890129 is 92109810120101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7592339376400 + 2509762513729 = 2755420^2 + 1584223^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102101890129 - 2⁴ = 10102101890113 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10102101890119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051050945064 + 5051050945065.

It is an arithmetic number, because the mean of its divisors is an integer number (5051050945065).

Almost surely, 2^{10102101890129} is an apocalyptic number.

It is an amenable number.

10102101890129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102101890129 is an equidigital number, since it uses as much as digits as its factorization.

10102101890129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 35.

The spelling of 10102101890129 in words is "ten trillion, one hundred two billion, one hundred one million, eight hundred ninety thousand, one hundred twenty-nine".