19101101010100 has 18 divisors (see below), whose sum is σ = 41449389192134. Its totient is φ = 7640440404000.

The previous prime is 19101101010091. The next prime is 19101101010119. The reversal of 19101101010100 is 101010110191.

It can be written as a sum of positive squares in 3 ways, for example, as 667851797284 + 18433249212816 = 817222^2 + 4293396^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 95505504951 + ... + 95505505150.

Almost surely, 2^{19101101010100} is an apocalyptic number.

19101101010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19101101010100 is an abundant number, since it is smaller than the sum of its proper divisors (22348288182034).

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

19101101010100 is a wasteful number, since it uses less digits than its factorization.

19101101010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191011010115 (or 191011010108 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 16.

Adding to 19101101010100 its reverse (101010110191), we get a palindrome (19202111120291).

The spelling of 19101101010100 in words is "nineteen trillion, one hundred one billion, one hundred one million, ten thousand, one hundred".