122111413031010 has 256 divisors, whose sum is σ = 329257408757760. Its totient is φ = 28780704000000.

The previous prime is 122111413031009. The next prime is 122111413031011. The reversal of 122111413031010 is 10130314111221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122111413031009) and next prime (122111413031011).

It is a super-2 number, since 2×122111413031010² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122111413031011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 458089846 + ... + 458356334.

It is an arithmetic number, because the mean of its divisors is an integer number (1286161752960).

Almost surely, 2^{122111413031010} is an apocalyptic number.

122111413031010 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 122111413031010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164628704378880).

122111413031010 is an abundant number, since it is smaller than the sum of its proper divisors (207145995726750).

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

122111413031010 is a wasteful number, since it uses less digits than its factorization.

122111413031010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266945.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 122111413031010 its reverse (10130314111221), we get a palindrome (132241727142231).

The spelling of 122111413031010 in words is "one hundred twenty-two trillion, one hundred eleven billion, four hundred thirteen million, thirty-one thousand, ten".