102011212000 has 192 divisors, whose sum is σ = 261881605440. Its totient is φ = 39002880000.

The previous prime is 102011211989. The next prime is 102011212031. The reversal of 102011212000 is 212110201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11711647 + ... + 11720353.

It is an arithmetic number, because the mean of its divisors is an integer number (1363966695).

Almost surely, 2^102011212000 is an apocalyptic number.

102011212000 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 102011212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130940802720).

102011212000 is an abundant number, since it is smaller than the sum of its proper divisors (159870393440).

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

102011212000 is a wasteful number, since it uses less digits than its factorization.

102011212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8862 (or 8844 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102011212000 its reverse (212110201), we get a palindrome (102223322201).

The spelling of 102011212000 in words is "one hundred two billion, eleven million, two hundred twelve thousand".