1012000002101 has 24 divisors (see below), whose sum is σ = 1133684844600. Its totient is φ = 902533104000.

The previous prime is 1012000002049. The next prime is 1012000002157.

1012000002101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 818970700900 + 193029301201 = 904970^2 + 439351^2 .

It is not a de Polignac number, because 1012000002101 - 2¹⁸ = 1011999739957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012000002301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 952235 + ... + 1711943.

It is an arithmetic number, because the mean of its divisors is an integer number (47236868525).

Almost surely, 2^{1012000002101} is an apocalyptic number.

1012000002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012000002101 is a deficient number, since it is larger than the sum of its proper divisors (121684842499).

1012000002101 is a wasteful number, since it uses less digits than its factorization.

1012000002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759941 (or 759930 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

It can be divided in two parts, 101200000 and 2101, that added together give a palindrome (101202101).

The spelling of 1012000002101 in words is "one trillion, twelve billion, two thousand, one hundred one".