20101120211312 has 60 divisors (see below), whose sum is σ = 45305491825440. Its totient is φ = 8614565422848.

The previous prime is 20101120211311. The next prime is 20101120211339. The reversal of 20101120211312 is 21311202110102.

It is a happy number.

It is a super-2 number, since 2×20101120211312² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101120211311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36290108 + ... + 36839844.

It is an arithmetic number, because the mean of its divisors is an integer number (755091530424).

Almost surely, 2^{20101120211312} is an apocalyptic number.

It is an amenable number.

20101120211312 is an abundant number, since it is smaller than the sum of its proper divisors (25204371614128).

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

20101120211312 is a wasteful number, since it uses less digits than its factorization.

20101120211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596398 (or 596385 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 20101120211312 its reverse (21311202110102), we get a palindrome (41412322321414).

The spelling of 20101120211312 in words is "twenty trillion, one hundred one billion, one hundred twenty million, two hundred eleven thousand, three hundred twelve".