122120012021010 has 256 divisors, whose sum is σ = 301293652008960. Its totient is φ = 31668973056000.

The previous prime is 122120012020997. The next prime is 122120012021017. The reversal of 122120012021010 is 10120210021221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (122120012021017) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82014782346 + ... + 82014783834.

It is an arithmetic number, because the mean of its divisors is an integer number (1176928328160).

Almost surely, 2^{122120012021010} is an apocalyptic number.

122120012021010 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 122120012021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150646826004480).

122120012021010 is an abundant number, since it is smaller than the sum of its proper divisors (179173639987950).

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

122120012021010 is a wasteful number, since it uses less digits than its factorization.

122120012021010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122120012021010 its reverse (10120210021221), we get a palindrome (132240222042231).

The spelling of 122120012021010 in words is "one hundred twenty-two trillion, one hundred twenty billion, twelve million, twenty-one thousand, ten".