1010101002149 has 2 divisors, whose sum is σ = 1010101002150. Its totient is φ = 1010101002148.

The previous prime is 1010101002059. The next prime is 1010101002181. The reversal of 1010101002149 is 9412001010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 717100725124 + 293000277025 = 846818^2 + 541295^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010101002149 - 2¹⁶ = 1010100936613 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1010101002149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010101005149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505050501074 + 505050501075.

It is an arithmetic number, because the mean of its divisors is an integer number (505050501075).

Almost surely, 2^{1010101002149} is an apocalyptic number.

It is an amenable number.

1010101002149 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010101002149 is an equidigital number, since it uses as much as digits as its factorization.

1010101002149 is an evil number, because the sum of its binary digits is even.

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

The spelling of 1010101002149 in words is "one trillion, ten billion, one hundred one million, two thousand, one hundred forty-nine".