1000102212000 has 288 divisors, whose sum is σ = 3570637883904. Its totient is φ = 265095360000.

The previous prime is 1000102211971. The next prime is 1000102212001. The reversal of 1000102212000 is 2122010001.

1000102212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (1000102212001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5928825 + ... + 6095175.

It is an arithmetic number, because the mean of its divisors is an integer number (12398048208).

Almost surely, 2^{1000102212000} is an apocalyptic number.

1000102212000 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 1000102212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785318941952).

1000102212000 is an abundant number, since it is smaller than the sum of its proper divisors (2570535671904).

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

1000102212000 is a wasteful number, since it uses less digits than its factorization.

1000102212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166549 (or 166528 counting only the distinct ones).

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

Adding to 1000102212000 its reverse (2122010001), we get a palindrome (1002224222001).

The spelling of 1000102212000 in words is "one trillion, one hundred two million, two hundred twelve thousand".