10002217535112 has 384 divisors, whose sum is σ = 29718313344000. Its totient is φ = 2774361715200.

The previous prime is 10002217535077. The next prime is 10002217535129. The reversal of 10002217535112 is 21153571220001.

It is a self number, because there is not a number n which added to its sum of digits gives 10002217535112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3996090453 + ... + 3996092955.

It is an arithmetic number, because the mean of its divisors is an integer number (77391441000).

Almost surely, 2^{10002217535112} is an apocalyptic number.

10002217535112 is a gapful number since it is divisible by the number (12) 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 10002217535112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14859156672000).

10002217535112 is an abundant number, since it is smaller than the sum of its proper divisors (19716095808888).

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

10002217535112 is a wasteful number, since it uses less digits than its factorization.

10002217535112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

Adding to 10002217535112 its reverse (21153571220001), we get a palindrome (31155788755113).

The spelling of 10002217535112 in words is "ten trillion, two billion, two hundred seventeen million, five hundred thirty-five thousand, one hundred twelve".