20102102000 has 120 divisors (see below), whose sum is σ = 49233284880. Its totient is φ = 7938518400.

The previous prime is 20102101951. The next prime is 20102102039. The reversal of 20102102000 is 20120102.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13777271 + ... + 13778729.

It is an arithmetic number, because the mean of its divisors is an integer number (410277374).

Almost surely, 2^20102102000 is an apocalyptic number.

20102102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20102102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24616642440).

20102102000 is an abundant number, since it is smaller than the sum of its proper divisors (29131182880).

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

20102102000 is an equidigital number, since it uses as much as digits as its factorization.

20102102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1549 counting only the distinct ones).

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

Adding to 20102102000 its reverse (20120102), we get a palindrome (20122222102).

The spelling of 20102102000 in words is "twenty billion, one hundred two million, one hundred two thousand".