1012102012101 has 16 divisors (see below), whose sum is σ = 1362972117888. Its totient is φ = 667984680000.

The previous prime is 1012102012057. The next prime is 1012102012111.

1012102012101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1012102012101 - 2¹⁰ = 1012102011077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012102012111) 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, 2831320 + ... + 3168686.

It is an arithmetic number, because the mean of its divisors is an integer number (85185757368).

Almost surely, 2^{1012102012101} is an apocalyptic number.

It is an amenable number.

1012102012101 is a deficient number, since it is larger than the sum of its proper divisors (350870105787).

1012102012101 is a wasteful number, since it uses less digits than its factorization.

1012102012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347372.

The product of its (nonzero) digits is 8, while the sum is 12.

The spelling of 1012102012101 in words is "one trillion, twelve billion, one hundred two million, twelve thousand, one hundred one".