1011110002100 has 144 divisors (see below), whose sum is σ = 2520609295680. Its totient is φ = 348178636800.

The previous prime is 1011110002073. The next prime is 1011110002109. The reversal of 1011110002100 is 12000111101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011110002109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57528914 + ... + 57546486.

It is an arithmetic number, because the mean of its divisors is an integer number (17504231220).

Almost surely, 2^{1011110002100} is an apocalyptic number.

1011110002100 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 1011110002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260304647840).

1011110002100 is an abundant number, since it is smaller than the sum of its proper divisors (1509499293580).

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

1011110002100 is a wasteful number, since it uses less digits than its factorization.

1011110002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20370 (or 20363 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1011110002100 its reverse (12000111101), we get a palindrome (1023110113201).

The spelling of 1011110002100 in words is "one trillion, eleven billion, one hundred ten million, two thousand, one hundred".