10002000132990 has 256 divisors, whose sum is σ = 27882112896000. Its totient is φ = 2548188357120.

The previous prime is 10002000132967. The next prime is 10002000132991. The reversal of 10002000132990 is 9923100020001.

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 (10002000132991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 671673445 + ... + 671688335.

It is an arithmetic number, because the mean of its divisors is an integer number (108914503500).

Almost surely, 2^{10002000132990} is an apocalyptic number.

10002000132990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002000132990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13941056448000).

10002000132990 is an abundant number, since it is smaller than the sum of its proper divisors (17880112763010).

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

10002000132990 is a wasteful number, since it uses less digits than its factorization.

10002000132990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15832 (or 15826 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

Adding to 10002000132990 its reverse (9923100020001), we get a palindrome (19925100152991).

The spelling of 10002000132990 in words is "ten trillion, two billion, one hundred thirty-two thousand, nine hundred ninety".