10012222222002 has 384 divisors, whose sum is σ = 30145517176320. Its totient is φ = 2316625920000.

The previous prime is 10012222221979. The next prime is 10012222222007. The reversal of 10012222222002 is 20022222221001.

10012222222002 is a `hidden beast` number, since 100 + 122 + 222 + 220 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10012222222007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1588986252 + ... + 1588992552.

It is an arithmetic number, because the mean of its divisors is an integer number (78503950980).

Almost surely, 2^{10012222222002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012222222002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15072758588160).

10012222222002 is an abundant number, since it is smaller than the sum of its proper divisors (20133294954318).

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

10012222222002 is a wasteful number, since it uses less digits than its factorization.

10012222222002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9410 (or 9407 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10012222222002 its reverse (20022222221001), we get a palindrome (30034444443003).

The spelling of 10012222222002 in words is "ten trillion, twelve billion, two hundred twenty-two million, two hundred twenty-two thousand, two".