1101001111100 has 288 divisors, whose sum is σ = 2785696704000. Its totient is φ = 373507200000.

The previous prime is 1101001111061. The next prime is 1101001111139. The reversal of 1101001111100 is 11111001011.

It is an interprime number because it is at equal distance from previous prime (1101001111061) and next prime (1101001111139).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 420067790 + ... + 420070410.

It is an arithmetic number, because the mean of its divisors is an integer number (9672558000).

Almost surely, 2^{1101001111100} is an apocalyptic number.

1101001111100 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 1101001111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392848352000).

1101001111100 is an abundant number, since it is smaller than the sum of its proper divisors (1684695592900).

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

1101001111100 is a wasteful number, since it uses less digits than its factorization.

1101001111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1101001111100 its reverse (11111001011), we get a palindrome (1112112112111).

The spelling of 1101001111100 in words is "one trillion, one hundred one billion, one million, one hundred eleven thousand, one hundred".