1001100210120 has 128 divisors (see below), whose sum is σ = 3337230326400. Its totient is φ = 266941686528.

The previous prime is 1001100210119. The next prime is 1001100210133. The reversal of 1001100210120 is 210120011001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24168067 + ... + 24209453.

It is an arithmetic number, because the mean of its divisors is an integer number (26072111925).

Almost surely, 2^{1001100210120} is an apocalyptic number.

1001100210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001100210120 is an abundant number, since it is smaller than the sum of its proper divisors (2336130116280).

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

1001100210120 is a wasteful number, since it uses less digits than its factorization.

1001100210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63804 (or 63794 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001100210120 its reverse (210120011001), we get a palindrome (1211220221121).

The spelling of 1001100210120 in words is "one trillion, one billion, one hundred million, two hundred ten thousand, one hundred twenty".