11101421414000 has 160 divisors (see below), whose sum is σ = 27105493708800. Its totient is φ = 4397219539200.

The previous prime is 11101421413993. The next prime is 11101421414011. The reversal of 11101421414000 is 41412410111.

It is a super-2 number, since 2×11101421414000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 581856461 + ... + 581875539.

It is an arithmetic number, because the mean of its divisors is an integer number (169409335680).

Almost surely, 2^{11101421414000} is an apocalyptic number.

11101421414000 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 11101421414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13552746854400).

11101421414000 is an abundant number, since it is smaller than the sum of its proper divisors (16004072294800).

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

11101421414000 is a wasteful number, since it uses less digits than its factorization.

11101421414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21928 (or 21912 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 11101421414000 its reverse (41412410111), we get a palindrome (11142833824111).

The spelling of 11101421414000 in words is "eleven trillion, one hundred one billion, four hundred twenty-one million, four hundred fourteen thousand".