11110120021000 has 1024 divisors, whose sum is σ = 37369672704000. Its totient is φ = 2976652800000.

The previous prime is 11110120020973. The next prime is 11110120021031. The reversal of 11110120021000 is 12002101111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1122116050 + ... + 1122125950.

It is an arithmetic number, because the mean of its divisors is an integer number (36493821000).

Almost surely, 2^{11110120021000} is an apocalyptic number.

11110120021000 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 11110120021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18684836352000).

11110120021000 is an abundant number, since it is smaller than the sum of its proper divisors (26259552683000).

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

11110120021000 is a wasteful number, since it uses less digits than its factorization.

11110120021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10031 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11110120021000 its reverse (12002101111), we get a palindrome (11122122122111).

It can be divided in two parts, 11 and 110120021000, that added together give a palindrome (110120021011).

The spelling of 11110120021000 in words is "eleven trillion, one hundred ten billion, one hundred twenty million, twenty-one thousand".