102110210000 has 200 divisors, whose sum is σ = 252682072104. Its totient is φ = 39951360000.

The previous prime is 102110209979. The next prime is 102110210011. The reversal of 102110210000 is 12011201.

It can be written as a sum of positive squares in 20 ways, for example, as 96892748176 + 5217461824 = 311276^2 + 72232^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a self number, because there is not a number n which added to its sum of digits gives 102110210000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100009490 + ... + 100010510.

Almost surely, 2^102110210000 is an apocalyptic number.

102110210000 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 102110210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126341036052).

102110210000 is an abundant number, since it is smaller than the sum of its proper divisors (150571862104).

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

102110210000 is a wasteful number, since it uses less digits than its factorization.

102110210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102110210000 its reverse (12011201), we get a palindrome (102122221201).

It can be divided in two parts, 1021 and 10210000, that multiplied together give a square (10424410000 = 102100²).

The spelling of 102110210000 in words is "one hundred two billion, one hundred ten million, two hundred ten thousand".