102020022100 has 18 divisors (see below), whose sum is σ = 221383448174. Its totient is φ = 40808008800.

The previous prime is 102020022089. The next prime is 102020022109. The reversal of 102020022100 is 1220020201.

It can be written as a sum of positive squares in 3 ways, for example, as 6635405764 + 95384616336 = 81458^2 + 308844^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020022109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 510100011 + ... + 510100210.

Almost surely, 2^102020022100 is an apocalyptic number.

102020022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102020022100 is an abundant number, since it is smaller than the sum of its proper divisors (119363426074).

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

102020022100 is a wasteful number, since it uses less digits than its factorization.

102020022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020200235 (or 1020200228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102020022100 its reverse (1220020201), we get a palindrome (103240042301).

The spelling of 102020022100 in words is "one hundred two billion, twenty million, twenty-two thousand, one hundred".