55121053010100 has 576 divisors, whose sum is σ = 201054631680000. Its totient is φ = 11326245120000.

The previous prime is 55121053010053. The next prime is 55121053010129. The reversal of 55121053010100 is 101035012155.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1934125651 + ... + 1934154149.

It is an arithmetic number, because the mean of its divisors is an integer number (349053180000).

Almost surely, 2^{55121053010100} is an apocalyptic number.

55121053010100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55121053010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100527315840000).

55121053010100 is an abundant number, since it is smaller than the sum of its proper divisors (145933578669900).

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

55121053010100 is a wasteful number, since it uses less digits than its factorization.

55121053010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29464 (or 29457 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 55121053010100 its reverse (101035012155), we get a palindrome (55222088022255).

The spelling of 55121053010100 in words is "fifty-five trillion, one hundred twenty-one billion, fifty-three million, ten thousand, one hundred".