2012121100101 has 8 divisors (see below), whose sum is σ = 3066089295424. Its totient is φ = 1149783485760.

The previous prime is 2012121100043. The next prime is 2012121100147. The reversal of 2012121100101 is 1010011212102.

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

It is not a de Polignac number, because 2012121100101 - 2⁹ = 2012121099589 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012121100201) 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, 47907645220 + ... + 47907645261.

It is an arithmetic number, because the mean of its divisors is an integer number (383261161928).

Almost surely, 2^{2012121100101} is an apocalyptic number.

2012121100101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2012121100101 is a deficient number, since it is larger than the sum of its proper divisors (1053968195323).

2012121100101 is an equidigital number, since it uses as much as digits as its factorization.

2012121100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95815290491.

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

Adding to 2012121100101 its reverse (1010011212102), we get a palindrome (3022132312203).

The spelling of 2012121100101 in words is "two trillion, twelve billion, one hundred twenty-one million, one hundred thousand, one hundred one".