1001102100000 has 144 divisors (see below), whose sum is σ = 3284657018496. Its totient is φ = 266960480000.

The previous prime is 1001102099989. The next prime is 1001102100017. The reversal of 1001102100000 is 12011001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1368504 + ... + 1968503.

It is an arithmetic number, because the mean of its divisors is an integer number (22810118184).

Almost surely, 2^{1001102100000} is an apocalyptic number.

1001102100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001102100000 is an abundant number, since it is smaller than the sum of its proper divisors (2283554918496).

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

1001102100000 is an frugal number, since it uses more digits than its factorization.

1001102100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337045 (or 3337017 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1001102100000 its reverse (12011001), we get a palindrome (1001114111001).

The spelling of 1001102100000 in words is "one trillion, one billion, one hundred two million, one hundred thousand".