122010011021010 has 256 divisors, whose sum is σ = 350823248216064. Its totient is φ = 26552040886272.

The previous prime is 122010011020993. The next prime is 122010011021057. The reversal of 122010011021010 is 10120110010221.

It is a super-2 number, since 2×122010011021010² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3665378587 + ... + 3665411873.

It is an arithmetic number, because the mean of its divisors is an integer number (1370403313344).

Almost surely, 2^{122010011021010} is an apocalyptic number.

122010011021010 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 122010011021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175411624108032).

122010011021010 is an abundant number, since it is smaller than the sum of its proper divisors (228813237195054).

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

122010011021010 is a wasteful number, since it uses less digits than its factorization.

122010011021010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36817.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122010011021010 its reverse (10120110010221), we get a palindrome (132130121031231).

The spelling of 122010011021010 in words is "one hundred twenty-two trillion, ten billion, eleven million, twenty-one thousand, ten".