102012012000 has 144 divisors (see below), whose sum is σ = 362040758352. Its totient is φ = 27203193600.

The previous prime is 102012011939. The next prime is 102012012017. The reversal of 102012012000 is 210210201.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1380834 + ... + 1452833.

It is an arithmetic number, because the mean of its divisors is an integer number (2514171933).

Almost surely, 2^102012012000 is an apocalyptic number.

102012012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012012000 is an abundant number, since it is smaller than the sum of its proper divisors (260028746352).

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

102012012000 is a wasteful number, since it uses less digits than its factorization.

102012012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833698 (or 2833677 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102012012000 its reverse (210210201), we get a palindrome (102222222201).

The spelling of 102012012000 in words is "one hundred two billion, twelve million, twelve thousand".