10121554054400 has 108 divisors (see below), whose sum is σ = 25197242255052. Its totient is φ = 4025218744320.

The previous prime is 10121554054399. The next prime is 10121554054433. The reversal of 10121554054400 is 445045512101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 116428358656 + 10005125695744 = 341216^2 + 3163088^2 .

It is a super-2 number, since 2×10121554054400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 3463589 + ... + 5677988.

Almost surely, 2^{10121554054400} is an apocalyptic number.

10121554054400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121554054400 is an abundant number, since it is smaller than the sum of its proper divisors (15075688200652).

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

10121554054400 is an equidigital number, since it uses as much as digits as its factorization.

10121554054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9141776 (or 9141757 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

Adding to 10121554054400 its reverse (445045512101), we get a palindrome (10566599566501).

The spelling of 10121554054400 in words is "ten trillion, one hundred twenty-one billion, five hundred fifty-four million, fifty-four thousand, four hundred".