102020100210 has 640 divisors, whose sum is σ = 340027269120. Its totient is φ = 21453175296.

The previous prime is 102020100179. The next prime is 102020100241. The reversal of 102020100210 is 12001020201.

It is an interprime number because it is at equal distance from previous prime (102020100179) and next prime (102020100241).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102020100192 and 102020100201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 332312877 + ... + 332313183.

It is an arithmetic number, because the mean of its divisors is an integer number (531292608).

Almost surely, 2^102020100210 is an apocalyptic number.

102020100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102020100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170013634560).

102020100210 is an abundant number, since it is smaller than the sum of its proper divisors (238007168910).

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

102020100210 is a wasteful number, since it uses less digits than its factorization.

102020100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102020100210 its reverse (12001020201), we get a palindrome (114021120411).

The spelling of 102020100210 in words is "one hundred two billion, twenty million, one hundred thousand, two hundred ten".