10012202122122 has 96 divisors (see below), whose sum is σ = 21926032128000. Its totient is φ = 3301777188864.

The previous prime is 10012202122099. The next prime is 10012202122147. The reversal of 10012202122122 is 22122120221001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10012202122095 and 10012202122104.

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 47 ways as a sum of consecutive naturals, for example, 1579956138 + ... + 1579962474.

It is an arithmetic number, because the mean of its divisors is an integer number (228396168000).

Almost surely, 2^{10012202122122} is an apocalyptic number.

10012202122122 is an abundant number, since it is smaller than the sum of its proper divisors (11913830005878).

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

10012202122122 is a wasteful number, since it uses less digits than its factorization.

10012202122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8980 (or 8977 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10012202122122 its reverse (22122120221001), we get a palindrome (32134322343123).

The spelling of 10012202122122 in words is "ten trillion, twelve billion, two hundred two million, one hundred twenty-two thousand, one hundred twenty-two".