10121122122020 has 144 divisors (see below), whose sum is σ = 26799225062400. Its totient is φ = 3142730792448.

The previous prime is 10121122121989. The next prime is 10121122122071. The reversal of 10121122122020 is 2022122112101.

It is a super-2 number, since 2×10121122122020² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10121122122020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2781620 + ... + 5289579.

It is an arithmetic number, because the mean of its divisors is an integer number (186105729600).

Almost surely, 2^{10121122122020} is an apocalyptic number.

10121122122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121122122020 is an abundant number, since it is smaller than the sum of its proper divisors (16678102940380).

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

10121122122020 is a wasteful number, since it uses less digits than its factorization.

10121122122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8071294 (or 8071279 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10121122122020 its reverse (2022122112101), we get a palindrome (12143244234121).

The spelling of 10121122122020 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred twenty-two thousand, twenty".