101102101000011 has 12 divisors (see below), whose sum is σ = 146039981341488. Its totient is φ = 67399733021904.

The previous prime is 101102100999967. The next prime is 101102101000037. The reversal of 101102101000011 is 110000101201101.

It is not a de Polignac number, because 101102101000011 - 2⁹ = 101102100999499 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 = 101102100999957 and 101102101000002.

It is not an unprimeable number, because it can be changed into a prime (101102101050011) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 138586380 + ... + 139313993.

It is an arithmetic number, because the mean of its divisors is an integer number (12169998445124).

Almost surely, 2^{101102101000011} is an apocalyptic number.

101102101000011 is a deficient number, since it is larger than the sum of its proper divisors (44937880341477).

101102101000011 is a wasteful number, since it uses less digits than its factorization.

101102101000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277940802 (or 277940799 counting only the distinct ones).

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

Adding to 101102101000011 its reverse (110000101201101), we get a palindrome (211102202201112).

The spelling of 101102101000011 in words is "one hundred one trillion, one hundred two billion, one hundred one million, eleven", and thus it is an aban number.