102120202020210 has 128 divisors (see below), whose sum is σ = 271177310177280. Its totient is φ = 24403923801600.

The previous prime is 102120202020209. The next prime is 102120202020217. The reversal of 102120202020210 is 12020202021201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102120202020210.

It is not an unprimeable number, because it can be changed into a prime (102120202020217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151325721 + ... + 151999059.

It is an arithmetic number, because the mean of its divisors is an integer number (2118572735760).

Almost surely, 2^{102120202020210} is an apocalyptic number.

102120202020210 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 102120202020210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135588655088640).

102120202020210 is an abundant number, since it is smaller than the sum of its proper divisors (169057108157070).

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

102120202020210 is a wasteful number, since it uses less digits than its factorization.

102120202020210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679904.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102120202020210 its reverse (12020202021201), we get a palindrome (114140404041411).

Subtracting from 102120202020210 its reverse (12020202021201), we obtain a palindrome (90099999999009).

The spelling of 102120202020210 in words is "one hundred two trillion, one hundred twenty billion, two hundred two million, twenty thousand, two hundred ten".