20011100121120 has 96 divisors (see below), whose sum is σ = 63042949384128. Its totient is φ = 5335617471488.

The previous prime is 20011100121079. The next prime is 20011100121127. The reversal of 20011100121120 is 2112100111002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20011100121096 and 20011100121105.

It is not an unprimeable number, because it can be changed into a prime (20011100121127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1159102 + ... + 6431618.

It is an arithmetic number, because the mean of its divisors is an integer number (656697389418).

Almost surely, 2^{20011100121120} is an apocalyptic number.

20011100121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20011100121120 is an abundant number, since it is smaller than the sum of its proper divisors (43031849263008).

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

20011100121120 is a wasteful number, since it uses less digits than its factorization.

20011100121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280442 (or 5280434 counting only the distinct ones).

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

Adding to 20011100121120 its reverse (2112100111002), we get a palindrome (22123200232122).

The spelling of 20011100121120 in words is "twenty trillion, eleven billion, one hundred million, one hundred twenty-one thousand, one hundred twenty".