101001010009000 has 64 divisors (see below), whose sum is σ = 236370048445440. Its totient is φ = 40395671521600.

The previous prime is 101001010008961. The next prime is 101001010009001. The reversal of 101001010009000 is 900010100101.

It is not an unprimeable number, because it can be changed into a prime (101001010009001) 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 15 ways as a sum of consecutive naturals, for example, 2631669 + ... + 14454331.

It is an arithmetic number, because the mean of its divisors is an integer number (3693282006960).

Almost surely, 2^{101001010009000} is an apocalyptic number.

101001010009000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001010009000 is an abundant number, since it is smaller than the sum of its proper divisors (135369038436440).

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

101001010009000 is a wasteful number, since it uses less digits than its factorization.

101001010009000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11831227 (or 11831213 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 101001010009000 its reverse (900010100101), we get a palindrome (101901020109101).

The spelling of 101001010009000 in words is "one hundred one trillion, one billion, ten million, nine thousand".