2012100101 has 8 divisors (see below), whose sum is σ = 2195781600. Its totient is φ = 1828545840.

The previous prime is 2012100091. The next prime is 2012100107. The reversal of 2012100101 is 1010012102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2012100101 - 2⁶ = 2012100037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012100107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2915 + ... + 63503.

It is an arithmetic number, because the mean of its divisors is an integer number (274472700).

Almost surely, 2^2012100101 is an apocalyptic number.

It is an amenable number.

2012100101 is a deficient number, since it is larger than the sum of its proper divisors (183681499).

2012100101 is a wasteful number, since it uses less digits than its factorization.

2012100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63619.

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

The square root of 2012100101 is about 44856.4387908804. The cubic root of 2012100101 is about 1262.4568049267.

Adding to 2012100101 its reverse (1010012102), we get a palindrome (3022112203).

It can be divided in two parts, 20 and 12100101, that added together give a palindrome (12100121).

The spelling of 2012100101 in words is "two billion, twelve million, one hundred thousand, one hundred one".