1002101121029 has 2 divisors, whose sum is σ = 1002101121030. Its totient is φ = 1002101121028.

The previous prime is 1002101120987. The next prime is 1002101121053. The reversal of 1002101121029 is 9201211012001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 517270216225 + 484830904804 = 719215^2 + 696298^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002101121029 - 2¹⁶ = 1002101055493 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1002101121029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002101121079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501050560514 + 501050560515.

It is an arithmetic number, because the mean of its divisors is an integer number (501050560515).

Almost surely, 2^{1002101121029} is an apocalyptic number.

It is an amenable number.

1002101121029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002101121029 is an equidigital number, since it uses as much as digits as its factorization.

1002101121029 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 1002101121029 in words is "one trillion, two billion, one hundred one million, one hundred twenty-one thousand, twenty-nine".