1002133232100 has 432 divisors, whose sum is σ = 4217466314880. Its totient is φ = 192217190400.

The previous prime is 1002133232081. The next prime is 1002133232117. The reversal of 1002133232100 is 12323312001.

1002133232100 is a `hidden beast` number, since 10 + 0 + 2 + 1 + 332 + 321 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 344716 + ... + 1457084.

Almost surely, 2^{1002133232100} is an apocalyptic number.

1002133232100 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 1002133232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108733157440).

1002133232100 is an abundant number, since it is smaller than the sum of its proper divisors (3215333082780).

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

1002133232100 is a wasteful number, since it uses less digits than its factorization.

1002133232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112420 (or 1112410 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1002133232100 its reverse (12323312001), we get a palindrome (1014456544101).

The spelling of 1002133232100 in words is "one trillion, two billion, one hundred thirty-three million, two hundred thirty-two thousand, one hundred".