102013205020 has 48 divisors (see below), whose sum is σ = 224099846208. Its totient is φ = 38933734400.

The previous prime is 102013205017. The next prime is 102013205023. The reversal of 102013205020 is 20502310201.

102013205020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102013205017) and next prime (102013205023).

It is a super-3 number, since 3×102013205020³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102013204985 and 102013205003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102013205023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92059 + ... + 460978.

It is an arithmetic number, because the mean of its divisors is an integer number (4668746796).

Almost surely, 2^102013205020 is an apocalyptic number.

102013205020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102013205020 is an abundant number, since it is smaller than the sum of its proper divisors (122086641188).

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

102013205020 is a wasteful number, since it uses less digits than its factorization.

102013205020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553470 (or 553468 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 102013205020 its reverse (20502310201), we get a palindrome (122515515221).

The spelling of 102013205020 in words is "one hundred two billion, thirteen million, two hundred five thousand, twenty".