1002132101100 has 576 divisors, whose sum is σ = 3272897965568. Its totient is φ = 235146240000.

The previous prime is 1002132101027. The next prime is 1002132101107. The reversal of 1002132101100 is 11012312001.

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

It is not an unprimeable number, because it can be changed into a prime (1002132101107) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1667440800 + ... + 1667441400.

Almost surely, 2^{1002132101100} is an apocalyptic number.

1002132101100 is a gapful number since it is divisible by the number (10) 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 1002132101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636448982784).

1002132101100 is an abundant number, since it is smaller than the sum of its proper divisors (2270765864468).

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

1002132101100 is a wasteful number, since it uses less digits than its factorization.

1002132101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 891 counting only the distinct ones).

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

Adding to 1002132101100 its reverse (11012312001), we get a palindrome (1013144413101).

The spelling of 1002132101100 in words is "one trillion, two billion, one hundred thirty-two million, one hundred one thousand, one hundred".