102000020 has 48 divisors (see below), whose sum is σ = 219542400. Its totient is φ = 39795840.

The previous prime is 101999969. The next prime is 102000023. The reversal of 102000020 is 20000201.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 101999968 and 102000013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154451 + ... + 155109.

It is an arithmetic number, because the mean of its divisors is an integer number (4573800).

Almost surely, 2^102000020 is an apocalyptic number.

102000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000020 is an abundant number, since it is smaller than the sum of its proper divisors (117542380).

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

102000020 is a wasteful number, since it uses less digits than its factorization.

102000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 102000020 is about 10099.5059285096. The cubic root of 102000020 is about 467.2329033736.

Adding to 102000020 its reverse (20000201), we get a palindrome (122000221).

The spelling of 102000020 in words is "one hundred two million, twenty", and thus it is an aban number.