11145552100000 has 144 divisors (see below), whose sum is σ = 27432645510816. Its totient is φ = 4457262880000.

The previous prime is 11145552099991. The next prime is 11145552100051. The reversal of 11145552100000 is 125554111.

It is a super-2 number, since 2×11145552100000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632291187 + ... + 632308813.

It is an arithmetic number, because the mean of its divisors is an integer number (190504482714).

Almost surely, 2^{11145552100000} is an apocalyptic number.

11145552100000 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 11145552100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716322755408).

11145552100000 is an abundant number, since it is smaller than the sum of its proper divisors (16287093410816).

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

11145552100000 is an frugal number, since it uses more digits than its factorization.

11145552100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23985 (or 23957 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 25.

Adding to 11145552100000 its reverse (125554111), we get a palindrome (11145677654111).

The spelling of 11145552100000 in words is "eleven trillion, one hundred forty-five billion, five hundred fifty-two million, one hundred thousand".