10002212022000 has 320 divisors, whose sum is σ = 35192517534720. Its totient is φ = 2423825536000.

The previous prime is 10002212021957. The next prime is 10002212022043. The reversal of 10002212022000 is 22021220001.

It is an interprime number because it is at equal distance from previous prime (10002212021957) and next prime (10002212022043).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 175729546 + ... + 175786454.

It is an arithmetic number, because the mean of its divisors is an integer number (109976617296).

Almost surely, 2^{10002212022000} is an apocalyptic number.

10002212022000 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 10002212022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17596258767360).

10002212022000 is an abundant number, since it is smaller than the sum of its proper divisors (25190305512720).

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

10002212022000 is a wasteful number, since it uses less digits than its factorization.

10002212022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59609 (or 59593 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10002212022000 its reverse (22021220001), we get a palindrome (10024233242001).

The spelling of 10002212022000 in words is "ten trillion, two billion, two hundred twelve million, twenty-two thousand".