1001102816052 has 96 divisors (see below), whose sum is σ = 2655749376000. Its totient is φ = 325975578336.

The previous prime is 1001102816041. The next prime is 1001102816057. The reversal of 1001102816052 is 2506182011001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001102816057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2466199 + ... + 2843297.

It is an arithmetic number, because the mean of its divisors is an integer number (27664056000).

Almost surely, 2^{1001102816052} is an apocalyptic number.

1001102816052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001102816052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327874688000).

1001102816052 is an abundant number, since it is smaller than the sum of its proper divisors (1654646559948).

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

1001102816052 is a wasteful number, since it uses less digits than its factorization.

1001102816052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377682 (or 377674 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 1001102816052 its reverse (2506182011001), we get a palindrome (3507284827053).

The spelling of 1001102816052 in words is "one trillion, one billion, one hundred two million, eight hundred sixteen thousand, fifty-two".