102200102000 has 160 divisors (see below), whose sum is σ = 250335346560. Its totient is φ = 40350873600.

The previous prime is 102200101999. The next prime is 102200102009. The reversal of 102200102000 is 201002201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200102009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84253394 + ... + 84254606.

It is an arithmetic number, because the mean of its divisors is an integer number (1564595916).

Almost surely, 2^102200102000 is an apocalyptic number.

102200102000 is a gapful number since it is divisible by the number (10) 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 102200102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125167673280).

102200102000 is an abundant number, since it is smaller than the sum of its proper divisors (148135244560).

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

102200102000 is a wasteful number, since it uses less digits than its factorization.

102200102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1732 counting only the distinct ones).

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

Adding to 102200102000 its reverse (201002201), we get a palindrome (102401104201).

The spelling of 102200102000 in words is "one hundred two billion, two hundred million, one hundred two thousand".