10555340141100 has 144 divisors (see below), whose sum is σ = 30653974270080. Its totient is φ = 2804267558400.

The previous prime is 10555340141089. The next prime is 10555340141141. The reversal of 10555340141100 is 114104355501.

It is a super-2 number, since 2×10555340141100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 635128591 + ... + 635145209.

It is an arithmetic number, because the mean of its divisors is an integer number (212874821320).

Almost surely, 2^{10555340141100} is an apocalyptic number.

10555340141100 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 10555340141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15326987135040).

10555340141100 is an abundant number, since it is smaller than the sum of its proper divisors (20098634128980).

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

10555340141100 is a wasteful number, since it uses less digits than its factorization.

10555340141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24400 (or 24393 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 10555340141100 its reverse (114104355501), we get a palindrome (10669444496601).

The spelling of 10555340141100 in words is "ten trillion, five hundred fifty-five billion, three hundred forty million, one hundred forty-one thousand, one hundred".