1001102102112 has 96 divisors (see below), whose sum is σ = 3003495247872. Its totient is φ = 286011177984.

The previous prime is 1001102102111. The next prime is 1001102102149. The reversal of 1001102102112 is 2112012011001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001102102111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13596148 + ... + 13669580.

It is an arithmetic number, because the mean of its divisors is an integer number (31286408832).

Almost surely, 2^{1001102102112} is an apocalyptic number.

1001102102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001102102112 is an abundant number, since it is smaller than the sum of its proper divisors (2002393145760).

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

1001102102112 is a wasteful number, since it uses less digits than its factorization.

1001102102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93740 (or 93732 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001102102112 its reverse (2112012011001), we get a palindrome (3113114113113).

The spelling of 1001102102112 in words is "one trillion, one billion, one hundred two million, one hundred two thousand, one hundred twelve".