10200002001020 has 96 divisors (see below), whose sum is σ = 24589151462400. Its totient is φ = 3522772041984.

The previous prime is 10200002001017. The next prime is 10200002001029. The reversal of 10200002001020 is 2010020000201.

It is a junction number, because it is equal to n+sod(n) for n = 10200002000989 and 10200002001007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200002001029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12677954 + ... + 13458473.

It is an arithmetic number, because the mean of its divisors is an integer number (256136994400).

Almost surely, 2^{10200002001020} is an apocalyptic number.

10200002001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200002001020 is an abundant number, since it is smaller than the sum of its proper divisors (14389149461380).

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

10200002001020 is a wasteful number, since it uses less digits than its factorization.

10200002001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26136547 (or 26136545 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10200002001020 its reverse (2010020000201), we get a palindrome (12210022001221).

The spelling of 10200002001020 in words is "ten trillion, two hundred billion, two million, one thousand, twenty".