2012102101 has 16 divisors (see below), whose sum is σ = 2113348608. Its totient is φ = 1913673600.

The previous prime is 2012102083. The next prime is 2012102117. The reversal of 2012102101 is 1012012102.

It is a cyclic number.

It is not a de Polignac number, because 2012102101 - 2¹⁵ = 2012069333 is a prime.

It is a super-2 number, since 2×2012102101² = 8097109729697228402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012102171) 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, 520291 + ... + 524143.

It is an arithmetic number, because the mean of its divisors is an integer number (132084288).

Almost surely, 2^2012102101 is an apocalyptic number.

It is an amenable number.

2012102101 is a deficient number, since it is larger than the sum of its proper divisors (101246507).

2012102101 is a wasteful number, since it uses less digits than its factorization.

2012102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4212.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2012102101 is about 44856.4610842184. The cubic root of 2012102101 is about 1262.4572232149.

Adding to 2012102101 its reverse (1012012102), we get a palindrome (3024114203).

It can be divided in two parts, 2012102 and 101, that multiplied together give a palindrome (203222302).

The spelling of 2012102101 in words is "two billion, twelve million, one hundred two thousand, one hundred one".