10221202000218 has 96 divisors (see below), whose sum is σ = 23393003751936. Its totient is φ = 2947139932000.

The previous prime is 10221202000157. The next prime is 10221202000231. The reversal of 10221202000218 is 81200020212201.

It is a junction number, because it is equal to n+sod(n) for n = 10221202000194 and 10221202000203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55285873 + ... + 55470443.

It is an arithmetic number, because the mean of its divisors is an integer number (243677122416).

Almost surely, 2^{10221202000218} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221202000218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11696501875968).

10221202000218 is an abundant number, since it is smaller than the sum of its proper divisors (13171801751718).

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

10221202000218 is a wasteful number, since it uses less digits than its factorization.

10221202000218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184992 (or 184801 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 10221202000218 its reverse (81200020212201), we get a palindrome (91421222212419).

The spelling of 10221202000218 in words is "ten trillion, two hundred twenty-one billion, two hundred two million, two hundred eighteen", and thus it is an aban number.