10222212122010 has 192 divisors, whose sum is σ = 30859028089344. Its totient is φ = 2299516992000.

The previous prime is 10222212121963. The next prime is 10222212122011. The reversal of 10222212122010 is 1022121222201.

It is a happy number.

10222212122010 is a `hidden beast` number, since 1 + 0 + 222 + 212 + 1 + 220 + 10 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10222212122011) 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, 10145220 + ... + 11107200.

It is an arithmetic number, because the mean of its divisors is an integer number (160724104632).

Almost surely, 2^{10222212122010} is an apocalyptic number.

10222212122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222212122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15429514044672).

10222212122010 is an abundant number, since it is smaller than the sum of its proper divisors (20636815967334).

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

10222212122010 is a wasteful number, since it uses less digits than its factorization.

10222212122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962269 (or 962266 counting only the distinct ones).

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

Adding to 10222212122010 its reverse (1022121222201), we get a palindrome (11244333344211).

The spelling of 10222212122010 in words is "ten trillion, two hundred twenty-two billion, two hundred twelve million, one hundred twenty-two thousand, ten".