2101022000029 has 2 divisors, whose sum is σ = 2101022000030. Its totient is φ = 2101022000028.

The previous prime is 2101022000017. The next prime is 2101022000041. The reversal of 2101022000029 is 9200002201012.

It is a balanced prime because it is at equal distance from previous prime (2101022000017) and next prime (2101022000041).

It can be written as a sum of positive squares in only one way, i.e., 2082580903225 + 18441096804 = 1443115^2 + 135798^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101022000029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101022000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050511000014 + 1050511000015.

It is an arithmetic number, because the mean of its divisors is an integer number (1050511000015).

Almost surely, 2^{2101022000029} is an apocalyptic number.

It is an amenable number.

2101022000029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101022000029 is an equidigital number, since it uses as much as digits as its factorization.

2101022000029 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 2101022000029 in words is "two trillion, one hundred one billion, twenty-two million, twenty-nine", and thus it is an aban number.