10121220122010 has 256 divisors, whose sum is σ = 26097201561600. Its totient is φ = 2503284424704.

The previous prime is 10121220121931. The next prime is 10121220122023. The reversal of 10121220122010 is 1022102212101.

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

It is a Curzon number.

It is an unprimeable number.

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, 12208950276 + ... + 12208951104.

It is an arithmetic number, because the mean of its divisors is an integer number (101942193600).

Almost surely, 2^{10121220122010} is an apocalyptic number.

10121220122010 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 10121220122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13048600780800).

10121220122010 is an abundant number, since it is smaller than the sum of its proper divisors (15975981439590).

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

10121220122010 is a wasteful number, since it uses less digits than its factorization.

10121220122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025.

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

Adding to 10121220122010 its reverse (1022102212101), we get a palindrome (11143322334111).

The spelling of 10121220122010 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty million, one hundred twenty-two thousand, ten".