102100020 has 144 divisors (see below), whose sum is σ = 323362368. Its totient is φ = 23869440.

The previous prime is 102100007. The next prime is 102100067. The reversal of 102100020 is 20001201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 102099981 and 102100008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 903484 + ... + 903596.

It is an arithmetic number, because the mean of its divisors is an integer number (2245572).

Almost surely, 2^102100020 is an apocalyptic number.

102100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161681184).

102100020 is an abundant number, since it is smaller than the sum of its proper divisors (221262348).

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

102100020 is a wasteful number, since it uses less digits than its factorization.

102100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 102100020 is about 10104.4554529178. The cubic root of 102100020 is about 467.3855439633.

Adding to 102100020 its reverse (20001201), we get a palindrome (122101221).

The spelling of 102100020 in words is "one hundred two million, one hundred thousand, twenty".