1020205210145 has 128 divisors (see below), whose sum is σ = 1494932889600. Its totient is φ = 659602944000.

The previous prime is 1020205210133. The next prime is 1020205210147. The reversal of 1020205210145 is 5410125020201.

It is a de Polignac number, because none of the positive numbers 2^k-1020205210145 is a prime.

It is a super-2 number, since 2×1020205210145² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1020205210145.

It is not an unprimeable number, because it can be changed into a prime (1020205210147) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 274320596 + ... + 274324314.

It is an arithmetic number, because the mean of its divisors is an integer number (11679163200).

Almost surely, 2^{1020205210145} is an apocalyptic number.

It is an amenable number.

1020205210145 is a deficient number, since it is larger than the sum of its proper divisors (474727679455).

1020205210145 is a wasteful number, since it uses less digits than its factorization.

1020205210145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3999.

The product of its (nonzero) digits is 800, while the sum is 23.

The spelling of 1020205210145 in words is "one trillion, twenty billion, two hundred five million, two hundred ten thousand, one hundred forty-five".