102112010000 has 600 divisors, whose sum is σ = 335255333952. Its totient is φ = 29088000000.

The previous prime is 102112009927. The next prime is 102112010009. The reversal of 102112010000 is 10211201.

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 102112010000.

It is not an unprimeable number, because it can be changed into a prime (102112010009) 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 119 ways as a sum of consecutive naturals, for example, 1011009950 + ... + 1011010050.

Almost surely, 2^102112010000 is an apocalyptic number.

102112010000 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 102112010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167627666976).

102112010000 is an abundant number, since it is smaller than the sum of its proper divisors (233143323952).

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

102112010000 is a wasteful number, since it uses less digits than its factorization.

102112010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 139 counting only the distinct ones).

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

Adding to 102112010000 its reverse (10211201), we get a palindrome (102122221201).

102112010000 divided by its reverse (10211201) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 1021 and 12010000, that added together give a palindrome (12011021).

The spelling of 102112010000 in words is "one hundred two billion, one hundred twelve million, ten thousand".