1020005100204 has 144 divisors (see below), whose sum is σ = 2560808748960. Its totient is φ = 314876989440.

The previous prime is 1020005100193. The next prime is 1020005100211. The reversal of 1020005100204 is 4020015000201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 548094234 + ... + 548096094.

It is an arithmetic number, because the mean of its divisors is an integer number (17783394090).

Almost surely, 2^{1020005100204} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020005100204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280404374480).

1020005100204 is an abundant number, since it is smaller than the sum of its proper divisors (1540803648756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1020005100204 is a wasteful number, since it uses less digits than its factorization.

1020005100204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The spelling of 1020005100204 in words is "one trillion, twenty billion, five million, one hundred thousand, two hundred four".