20010100101002 has 16 divisors (see below), whose sum is σ = 32827974472800. Its totient is φ = 9072118293840.

The previous prime is 20010100100927. The next prime is 20010100101031.

20010100101002 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1169078852 + ... + 1169095967.

It is an arithmetic number, because the mean of its divisors is an integer number (2051748404550).

Almost surely, 2^{20010100101002} is an apocalyptic number.

20010100101002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20010100101002 is a deficient number, since it is larger than the sum of its proper divisors (12817874371798).

20010100101002 is a wasteful number, since it uses less digits than its factorization.

20010100101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338175221.

The product of its (nonzero) digits is 4, while the sum is 8.

It can be divided in two parts, 20010100 and 101002, that added together give a palindrome (20111102).

The spelling of 20010100101002 in words is "twenty trillion, ten billion, one hundred million, one hundred one thousand, two".