20102121101120 has 28 divisors (see below), whose sum is σ = 47868175872804. Its totient is φ = 8040848440320.

The previous prime is 20102121101087. The next prime is 20102121101197. The reversal of 20102121101120 is 2110112120102.

It can be written as a sum of positive squares in 2 ways, for example, as 10310829258304 + 9791291842816 = 3211048^2 + 3129104^2 .

It is a super-2 number, since 2×20102121101120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20102121101095 and 20102121101104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31409563901 + ... + 31409564540.

It is an arithmetic number, because the mean of its divisors is an integer number (1709577709743).

Almost surely, 2^{20102121101120} is an apocalyptic number.

20102121101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102121101120 is an abundant number, since it is smaller than the sum of its proper divisors (27766054771684).

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

20102121101120 is an equidigital number, since it uses as much as digits as its factorization.

20102121101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62819128458 (or 62819128448 counting only the distinct ones).

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

Adding to 20102121101120 its reverse (2110112120102), we get a palindrome (22212233221222).

The spelling of 20102121101120 in words is "twenty trillion, one hundred two billion, one hundred twenty-one million, one hundred one thousand, one hundred twenty".