10101101011112 has 8 divisors (see below), whose sum is σ = 18939564395850. Its totient is φ = 5050550505552.

The previous prime is 10101101011109. The next prime is 10101101011139. The reversal of 10101101011112 is 21111010110101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7026920895556 + 3074180115556 = 2650834^2 + 1753334^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 10101101011093 and 10101101011102.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 631318813187 + ... + 631318813202.

Almost surely, 2^{10101101011112} is an apocalyptic number.

It is an amenable number.

10101101011112 is a deficient number, since it is larger than the sum of its proper divisors (8838463384738).

10101101011112 is a wasteful number, since it uses less digits than its factorization.

10101101011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262637626395 (or 1262637626391 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10101101011112 its reverse (21111010110101), we get a palindrome (31212111121213).

The spelling of 10101101011112 in words is "ten trillion, one hundred one billion, one hundred one million, eleven thousand, one hundred twelve".