100101002010111 has 14 divisors (see below), whose sum is σ = 150082846636280. Its totient is φ = 66734001339588.

The previous prime is 100101002010109. The next prime is 100101002010131. The reversal of 100101002010111 is 111010200101001.

It is not a de Polignac number, because 100101002010111 - 2¹ = 100101002010109 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101002010093 and 100101002010102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101002010131) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 68656379251 + ... + 68656380708.

Almost surely, 2^{100101002010111} is an apocalyptic number.

100101002010111 is a deficient number, since it is larger than the sum of its proper divisors (49981844626169).

100101002010111 is an frugal number, since it uses more digits than its factorization.

100101002010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137312759977 (or 137312759962 counting only the distinct ones).

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

Adding to 100101002010111 its reverse (111010200101001), we get a palindrome (211111202111112).

The spelling of 100101002010111 in words is "one hundred trillion, one hundred one billion, two million, ten thousand, one hundred eleven".