11211111021000 has 512 divisors, whose sum is σ = 38429614080000. Its totient is φ = 2698596992000.

The previous prime is 11211111020987. The next prime is 11211111021023. The reversal of 11211111021000 is 12011111211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3894097561 + ... + 3894100439.

It is an arithmetic number, because the mean of its divisors is an integer number (75057840000).

Almost surely, 2^{11211111021000} is an apocalyptic number.

11211111021000 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 11211111021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19214807040000).

11211111021000 is an abundant number, since it is smaller than the sum of its proper divisors (27218503059000).

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

11211111021000 is a wasteful number, since it uses less digits than its factorization.

11211111021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11211111021000 its reverse (12011111211), we get a palindrome (11223122132211).

It can be divided in two parts, 112111 and 11021000, that added together give a palindrome (11133111).

The spelling of 11211111021000 in words is "eleven trillion, two hundred eleven billion, one hundred eleven million, twenty-one thousand".