11111012101000 has 192 divisors, whose sum is σ = 30757257273600. Its totient is φ = 3744921264000.

The previous prime is 11111012100997. The next prime is 11111012101037. The reversal of 11111012101000 is 10121011111.

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 47 ways as a sum of consecutive naturals, for example, 969345 + ... + 4812655.

It is an arithmetic number, because the mean of its divisors is an integer number (160194048300).

Almost surely, 2^{11111012101000} is an apocalyptic number.

11111012101000 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 11111012101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15378628636800).

11111012101000 is an abundant number, since it is smaller than the sum of its proper divisors (19646245172600).

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

11111012101000 is a wasteful number, since it uses less digits than its factorization.

11111012101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3843405 (or 3843384 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11111012101000 its reverse (10121011111), we get a palindrome (11121133112111).

The spelling of 11111012101000 in words is "eleven trillion, one hundred eleven billion, twelve million, one hundred one thousand".