10102002212000 has 192 divisors, whose sum is σ = 25407604430208. Its totient is φ = 3945312000000.

The previous prime is 10102002211999. The next prime is 10102002212011. The reversal of 10102002212000 is 21220020101.

It is a happy 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, 516162215 + ... + 516181785.

It is an arithmetic number, because the mean of its divisors is an integer number (132331273074).

Almost surely, 2^{10102002212000} is an apocalyptic number.

10102002212000 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 10102002212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12703802215104).

10102002212000 is an abundant number, since it is smaller than the sum of its proper divisors (15305602218208).

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

10102002212000 is a wasteful number, since it uses less digits than its factorization.

10102002212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22640 (or 22622 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10102002212000 its reverse (21220020101), we get a palindrome (10123222232101).

The spelling of 10102002212000 in words is "ten trillion, one hundred two billion, two million, two hundred twelve thousand".