102110032200 has 384 divisors, whose sum is σ = 356848053120. Its totient is φ = 23935795200.

The previous prime is 102110032159. The next prime is 102110032201. The reversal of 102110032200 is 2230011201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (102110032201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42245392 + ... + 42247808.

It is an arithmetic number, because the mean of its divisors is an integer number (929291805).

Almost surely, 2^102110032200 is an apocalyptic number.

102110032200 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 102110032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178424026560).

102110032200 is an abundant number, since it is smaller than the sum of its proper divisors (254738020920).

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

102110032200 is a wasteful number, since it uses less digits than its factorization.

102110032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102110032200 its reverse (2230011201), we get a palindrome (104340043401).

The spelling of 102110032200 in words is "one hundred two billion, one hundred ten million, thirty-two thousand, two hundred".