10221012112122 has 48 divisors (see below), whose sum is σ = 25310312576640. Its totient is φ = 2920157667936.

The previous prime is 10221012112121. The next prime is 10221012112139. The reversal of 10221012112122 is 22121121012201.

It is a super-3 number, since 3×10221012112122³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 10221012112095 and 10221012112104.

It is not an unprimeable number, because it can be changed into a prime (10221012112121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 999904 + ... + 4630532.

It is an arithmetic number, because the mean of its divisors is an integer number (527298178680).

Almost surely, 2^{10221012112122} is an apocalyptic number.

10221012112122 is an abundant number, since it is smaller than the sum of its proper divisors (15089300464518).

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

10221012112122 is a wasteful number, since it uses less digits than its factorization.

10221012112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3652987 (or 3652984 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10221012112122 its reverse (22121121012201), we get a palindrome (32342133124323).

The spelling of 10221012112122 in words is "ten trillion, two hundred twenty-one billion, twelve million, one hundred twelve thousand, one hundred twenty-two".