10121354012224 has 112 divisors (see below), whose sum is σ = 24847543627648. Its totient is φ = 3983305310208.

The previous prime is 10121354012213. The next prime is 10121354012261. The reversal of 10121354012224 is 42221045312101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10121354012192 and 10121354012201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3378222 + ... + 5626285.

It is an arithmetic number, because the mean of its divisors is an integer number (221853068104).

Almost surely, 2^{10121354012224} is an apocalyptic number.

10121354012224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10121354012224 is an abundant number, since it is smaller than the sum of its proper divisors (14726189615424).

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

10121354012224 is a wasteful number, since it uses less digits than its factorization.

10121354012224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9004732 (or 9004722 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 10121354012224 its reverse (42221045312101), we get a palindrome (52342399324325).

The spelling of 10121354012224 in words is "ten trillion, one hundred twenty-one billion, three hundred fifty-four million, twelve thousand, two hundred twenty-four".