10222001122102 has 288 divisors, whose sum is σ = 20899523473920. Its totient is φ = 3706773840000.

The previous prime is 10222001122087. The next prime is 10222001122103. The reversal of 10222001122102 is 20122110022201.

It is a happy number.

It is a super-2 number, since 2×10222001122102² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222001122103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5463388227 + ... + 5463390097.

It is an arithmetic number, because the mean of its divisors is an integer number (72567789840).

Almost surely, 2^{10222001122102} is an apocalyptic number.

10222001122102 is an abundant number, since it is smaller than the sum of its proper divisors (10677522351818).

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

10222001122102 is a wasteful number, since it uses less digits than its factorization.

10222001122102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10222001122102 its reverse (20122110022201), we get a palindrome (30344111144303).

The spelling of 10222001122102 in words is "ten trillion, two hundred twenty-two billion, one million, one hundred twenty-two thousand, one hundred two".