10122121110222 has 192 divisors, whose sum is σ = 25006594669056. Its totient is φ = 2931992743680.

The previous prime is 10122121110221. The next prime is 10122121110239. The reversal of 10122121110222 is 22201112122101.

10122121110222 is a `hidden beast` number, since 1 + 0 + 1 + 221 + 211 + 10 + 222 = 666.

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 = 10122121110195 and 10122121110204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122121110221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179114823 + ... + 179171325.

It is an arithmetic number, because the mean of its divisors is an integer number (130242680568).

Almost surely, 2^{10122121110222} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122121110222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12503297334528).

10122121110222 is an abundant number, since it is smaller than the sum of its proper divisors (14884473558834).

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

10122121110222 is a wasteful number, since it uses less digits than its factorization.

10122121110222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57015 (or 57012 counting only the distinct ones).

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

Adding to 10122121110222 its reverse (22201112122101), we get a palindrome (32323233232323).

The spelling of 10122121110222 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred ten thousand, two hundred twenty-two".