101102101100012 has 24 divisors (see below), whose sum is σ = 178286853823680. Its totient is φ = 50163276309120.

The previous prime is 101102101100009. The next prime is 101102101100053. The reversal of 101102101100012 is 210001101201101.

It is a junction number, because it is equal to n+sod(n) for n = 101102101099966 and 101102101100002.

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 7 ways as a sum of consecutive naturals, for example, 33072587 + ... + 36000002.

It is an arithmetic number, because the mean of its divisors is an integer number (7428618909320).

Almost surely, 2^{101102101100012} is an apocalyptic number.

It is an amenable number.

101102101100012 is a deficient number, since it is larger than the sum of its proper divisors (77184752723668).

101102101100012 is a wasteful number, since it uses less digits than its factorization.

101102101100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69075401 (or 69075399 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101102101100012 its reverse (210001101201101), we get a palindrome (311103202301113).

The spelling of 101102101100012 in words is "one hundred one trillion, one hundred two billion, one hundred one million, one hundred thousand, twelve".