100111022002110 has 64 divisors (see below), whose sum is σ = 274749600287232. Its totient is φ = 22869238605696.

The previous prime is 100111022002091. The next prime is 100111022002181. The reversal of 100111022002110 is 11200220111001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137978029 + ... + 138701688.

It is an arithmetic number, because the mean of its divisors is an integer number (4292962504488).

Almost surely, 2^{100111022002110} is an apocalyptic number.

100111022002110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100111022002110 is an abundant number, since it is smaller than the sum of its proper divisors (174638578285122).

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

100111022002110 is a wasteful number, since it uses less digits than its factorization.

100111022002110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276681457.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100111022002110 its reverse (11200220111001), we get a palindrome (111311242113111).

The spelling of 100111022002110 in words is "one hundred trillion, one hundred eleven billion, twenty-two million, two thousand, one hundred ten".