1001102100100 has 18 divisors (see below), whose sum is σ = 2172391557434. Its totient is φ = 400440840000.

The previous prime is 1001102100071. The next prime is 1001102100169. The reversal of 1001102100100 is 10012011001.

It can be written as a sum of positive squares in 3 ways, for example, as 211246867456 + 789855232644 = 459616^2 + 888738^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5005510401 + ... + 5005510600.

Almost surely, 2^{1001102100100} is an apocalyptic number.

1001102100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001102100100 is an abundant number, since it is smaller than the sum of its proper divisors (1171289457334).

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

1001102100100 is a wasteful number, since it uses less digits than its factorization.

1001102100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10011021015 (or 10011021008 counting only the distinct ones).

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

Adding to 1001102100100 its reverse (10012011001), we get a palindrome (1011114111101).

The spelling of 1001102100100 in words is "one trillion, one billion, one hundred two million, one hundred thousand, one hundred".