100100020111011 has 12 divisors (see below), whose sum is σ = 144933998893320. Its totient is φ = 66574078607520.

The previous prime is 100100020110983. The next prime is 100100020111043. The reversal of 100100020111011 is 110111020001001.

It is not a de Polignac number, because 100100020111011 - 2¹⁰ = 100100020109987 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100100020110984 and 100100020111002.

It is not an unprimeable number, because it can be changed into a prime (100100020111211) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 13272340450 + ... + 13272347991.

It is an arithmetic number, because the mean of its divisors is an integer number (12077833241110).

Almost surely, 2^{100100020111011} is an apocalyptic number.

100100020111011 is a deficient number, since it is larger than the sum of its proper divisors (44833978782309).

100100020111011 is a wasteful number, since it uses less digits than its factorization.

100100020111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26544688866 (or 26544688863 counting only the distinct ones).

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

Adding to 100100020111011 its reverse (110111020001001), we get a palindrome (210211040112012).

The spelling of 100100020111011 in words is "one hundred trillion, one hundred billion, twenty million, one hundred eleven thousand, eleven".