1011111111100 has 72 divisors (see below), whose sum is σ = 2221107590016. Its totient is φ = 399487200000.

The previous prime is 1011111111083. The next prime is 1011111111121. The reversal of 1011111111100 is 11111111101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4133205 + ... + 4370995.

It is an arithmetic number, because the mean of its divisors is an integer number (30848716528).

Almost surely, 2^{1011111111100} is an apocalyptic number.

1011111111100 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 1011111111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110553795008).

1011111111100 is an abundant number, since it is smaller than the sum of its proper divisors (1209996478916).

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

1011111111100 is a wasteful number, since it uses less digits than its factorization.

1011111111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238327 (or 238320 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 1011111111100 its reverse (11111111101), we get a palindrome (1022222222201).

Subtracting from 1011111111100 its reverse (11111111101), we obtain a palindrome (999999999999).

It can be divided in two parts, 1011111 and 111100, that added together give a palindrome (1122211).

The spelling of 1011111111100 in words is "one trillion, eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred".