102212011212000 has 384 divisors, whose sum is σ = 345691165188096. Its totient is φ = 26374003200000.

The previous prime is 102212011211957. The next prime is 102212011212019. The reversal of 102212011212000 is 212110212201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4758241260 + ... + 4758262740.

It is an arithmetic number, because the mean of its divisors is an integer number (900237409344).

Almost surely, 2^{102212011212000} is an apocalyptic number.

102212011212000 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 102212011212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172845582594048).

102212011212000 is an abundant number, since it is smaller than the sum of its proper divisors (243479153976096).

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

102212011212000 is a wasteful number, since it uses less digits than its factorization.

102212011212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34331 (or 34313 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102212011212000 its reverse (212110212201), we get a palindrome (102424121424201).

The spelling of 102212011212000 in words is "one hundred two trillion, two hundred twelve billion, eleven million, two hundred twelve thousand".