102020100 has 288 divisors, whose sum is σ = 376809216. Its totient is φ = 20736000.

The previous prime is 102020099. The next prime is 102020119. The reversal of 102020100 is 1020201.

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1010050 + ... + 1010150.

Almost surely, 2^102020100 is an apocalyptic number.

102020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 10100×10101.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188404608).

102020100 is an abundant number, since it is smaller than the sum of its proper divisors (274789116).

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

102020100 is a wasteful number, since it uses less digits than its factorization.

102020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 168 counting only the distinct ones).

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

The square root of 102020100 is about 10100.4999876244. The cubic root of 102020100 is about 467.2635616065.

Adding to 102020100 its reverse (1020201), we get a palindrome (103040301).

Multiplying 102020100 by its reverse (1020201), we get a square (104081008040100 = 10202010²).

102020100 divided by its reverse (1020201) gives a square (100 = 10²).

The spelling of 102020100 in words is "one hundred two million, twenty thousand, one hundred".