1011111100000 has 288 divisors, whose sum is σ = 2592087220800. Its totient is φ = 387744000000.

The previous prime is 1011111099997. The next prime is 1011111100037. The reversal of 1011111100000 is 11111101.

It is a happy number.

It is a congruent number.

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, 437898846 + ... + 437901154.

It is an arithmetic number, because the mean of its divisors is an integer number (9000302850).

Almost surely, 2^{1011111100000} is an apocalyptic number.

1011111100000 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 1011111100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296043610400).

1011111100000 is an abundant number, since it is smaller than the sum of its proper divisors (1580976120800).

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

1011111100000 is an equidigital number, since it uses as much as digits as its factorization.

1011111100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 1011111100000 its reverse (11111101), we get a palindrome (1011122211101).

It can be divided in two parts, 1011111 and 100000, that added together give a palindrome (1111111).

The spelling of 1011111100000 in words is "one trillion, eleven billion, one hundred eleven million, one hundred thousand".