20121012101120 has 112 divisors (see below), whose sum is σ = 55185694076448. Its totient is φ = 6898632622080.

The previous prime is 20121012101059. The next prime is 20121012101129. The reversal of 20121012101120 is 2110121012102.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20121012101095 and 20121012101104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121012101129) 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, 34801541 + ... + 35374980.

Almost surely, 2^{20121012101120} is an apocalyptic number.

20121012101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121012101120 is an abundant number, since it is smaller than the sum of its proper divisors (35064681975328).

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

20121012101120 is an frugal number, since it uses more digits than its factorization.

20121012101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70176559 (or 70176535 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20121012101120 its reverse (2110121012102), we get a palindrome (22231133113222).

The spelling of 20121012101120 in words is "twenty trillion, one hundred twenty-one billion, twelve million, one hundred one thousand, one hundred twenty".