1000100211100 has 72 divisors (see below), whose sum is σ = 2174393673648. Its totient is φ = 399270988800.

The previous prime is 1000100211091. The next prime is 1000100211107. The reversal of 1000100211100 is 11120010001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000100211107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167042307 + ... + 167048293.

It is an arithmetic number, because the mean of its divisors is an integer number (30199912134).

Almost surely, 2^{1000100211100} is an apocalyptic number.

1000100211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000100211100 is an abundant number, since it is smaller than the sum of its proper divisors (1174293462548).

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

1000100211100 is a wasteful number, since it uses less digits than its factorization.

1000100211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8935 (or 8928 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1000100211100 its reverse (11120010001), we get a palindrome (1011220221101).

The spelling of 1000100211100 in words is "one trillion, one hundred million, two hundred eleven thousand, one hundred".