100101101011002 has 48 divisors (see below), whose sum is σ = 266936269367040. Its totient is φ = 26400290376096.

The previous prime is 100101101010949. The next prime is 100101101011031. The reversal of 100101101011002 is 200110101101001.

It is a super-2 number, since 2×100101101011002² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 23 ways as a sum of consecutive naturals, for example, 30555890002 + ... + 30555893277.

It is an arithmetic number, because the mean of its divisors is an integer number (5561172278480).

Almost surely, 2^{100101101011002} is an apocalyptic number.

100101101011002 is an abundant number, since it is smaller than the sum of its proper divisors (166835168356038).

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

100101101011002 is a wasteful number, since it uses less digits than its factorization.

100101101011002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61111783307 (or 61111783304 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100101101011002 its reverse (200110101101001), we get a palindrome (300211202112003).

The spelling of 100101101011002 in words is "one hundred trillion, one hundred one billion, one hundred one million, eleven thousand, two".