20010010106000 has 80 divisors (see below), whose sum is σ = 51230334196080. Its totient is φ = 7533180262400.

The previous prime is 20010010105957. The next prime is 20010010106029. The reversal of 20010010106000 is 60101001002.

It can be written as a sum of positive squares in 8 ways, for example, as 10955014346896 + 9054995759104 = 3309836^2 + 3009152^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294230855 + ... + 294298854.

It is an arithmetic number, because the mean of its divisors is an integer number (640379177451).

Almost surely, 2^{20010010106000} is an apocalyptic number.

20010010106000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20010010106000 is an abundant number, since it is smaller than the sum of its proper divisors (31220324090080).

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

20010010106000 is a wasteful number, since it uses less digits than its factorization.

20010010106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588529749 (or 588529733 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 20010010106000 its reverse (60101001002), we get a palindrome (20070111107002).

The spelling of 20010010106000 in words is "twenty trillion, ten billion, ten million, one hundred six thousand".