10052254111100 has 72 divisors (see below), whose sum is σ = 21998915677200. Its totient is φ = 3986778931200.

The previous prime is 10052254111073. The next prime is 10052254111139. The reversal of 10052254111100 is 111145225001.

It is a happy number.

It is a super-2 number, since 2×10052254111100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10218890 + ... + 11159310.

Almost surely, 2^{10052254111100} is an apocalyptic number.

10052254111100 is a gapful number since it is divisible by the number (10) 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 10052254111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10999457838600).

10052254111100 is an abundant number, since it is smaller than the sum of its proper divisors (11946661566100).

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

10052254111100 is a wasteful number, since it uses less digits than its factorization.

10052254111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941343 (or 941336 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 23.

Adding to 10052254111100 its reverse (111145225001), we get a palindrome (10163399336101).

The spelling of 10052254111100 in words is "ten trillion, fifty-two billion, two hundred fifty-four million, one hundred eleven thousand, one hundred".