2121132201012 has 72 divisors (see below), whose sum is σ = 5991845775552. Its totient is φ = 627090076800.

The previous prime is 2121132201007. The next prime is 2121132201017. The reversal of 2121132201012 is 2101022311212.

It is an interprime number because it is at equal distance from previous prime (2121132201007) and next prime (2121132201017).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121132201017) 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, 65305648 + ... + 65338119.

It is an arithmetic number, because the mean of its divisors is an integer number (83220080216).

Almost surely, 2^{2121132201012} is an apocalyptic number.

2121132201012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2121132201012 is an abundant number, since it is smaller than the sum of its proper divisors (3870713574540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2121132201012 is a wasteful number, since it uses less digits than its factorization.

2121132201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130643829 (or 130643824 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2121132201012 its reverse (2101022311212), we get a palindrome (4222154512224).

It can be divided in two parts, 21211 and 32201012, that added together give a palindrome (32222223).

The spelling of 2121132201012 in words is "two trillion, one hundred twenty-one billion, one hundred thirty-two million, two hundred one thousand, twelve".