102001020210 has 96 divisors (see below), whose sum is σ = 273356050032. Its totient is φ = 26369349120.

The previous prime is 102001020181. The next prime is 102001020263. The reversal of 102001020210 is 12020100201.

It can be written as a sum of positive squares in 8 ways, for example, as 75187285209 + 26813735001 = 274203^2 + 163749^2 .

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 = 102001020192 and 102001020201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 867120 + ... + 977700.

Almost surely, 2^102001020210 is an apocalyptic number.

102001020210 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 102001020210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136678025016).

102001020210 is an abundant number, since it is smaller than the sum of its proper divisors (171355029822).

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

102001020210 is a wasteful number, since it uses less digits than its factorization.

102001020210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110908 (or 110905 counting only the distinct ones).

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

Adding to 102001020210 its reverse (12020100201), we get a palindrome (114021120411).

The spelling of 102001020210 in words is "one hundred two billion, one million, twenty thousand, two hundred ten".