1011012101101 has 16 divisors (see below), whose sum is σ = 1042366126464. Its totient is φ = 980272537344.

The previous prime is 1011012101089. The next prime is 1011012101149.

1011012101101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1011012101101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011012101191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 539370 + ... + 1520836.

It is an arithmetic number, because the mean of its divisors is an integer number (65147882904).

Almost surely, 2^{1011012101101} is an apocalyptic number.

It is an amenable number.

1011012101101 is a deficient number, since it is larger than the sum of its proper divisors (31354025363).

1011012101101 is a wasteful number, since it uses less digits than its factorization.

1011012101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981780.

The product of its (nonzero) digits is 2, while the sum is 10.

The spelling of 1011012101101 in words is "one trillion, eleven billion, twelve million, one hundred one thousand, one hundred one".