122121022121010 has 192 divisors, whose sum is σ = 366903087917184. Its totient is φ = 27852361574400.

The previous prime is 122121022120969. The next prime is 122121022121011. The reversal of 122121022121010 is 10121220121221.

122121022121010 is a `hidden beast` number, since 1 + 2 + 21 + 210 + 221 + 210 + 1 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (122121022121011) 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, 40223205 + ... + 43152615.

It is an arithmetic number, because the mean of its divisors is an integer number (1910953582902).

Almost surely, 2^{122121022121010} is an apocalyptic number.

122121022121010 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 122121022121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183451543958592).

122121022121010 is an abundant number, since it is smaller than the sum of its proper divisors (244782065796174).

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

122121022121010 is a wasteful number, since it uses less digits than its factorization.

122121022121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931929 (or 2931926 counting only the distinct ones).

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

Adding to 122121022121010 its reverse (10121220121221), we get a palindrome (132242242242231).

The spelling of 122121022121010 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, twenty-two million, one hundred twenty-one thousand, ten".