20101120202120 has 16 divisors (see below), whose sum is σ = 45227520454860. Its totient is φ = 8040448080832.

The previous prime is 20101120202113. The next prime is 20101120202143. The reversal of 20101120202120 is 2120202110102.

It can be written as a sum of positive squares in 2 ways, for example, as 18914027148676 + 1187093053444 = 4349026^2 + 1089538^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20101120202095 and 20101120202104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 251264002487 + ... + 251264002566.

Almost surely, 2^{20101120202120} is an apocalyptic number.

20101120202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101120202120 is an abundant number, since it is smaller than the sum of its proper divisors (25126400252740).

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

20101120202120 is a wasteful number, since it uses less digits than its factorization.

20101120202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502528005064 (or 502528005060 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20101120202120 its reverse (2120202110102), we get a palindrome (22221322312222).

The spelling of 20101120202120 in words is "twenty trillion, one hundred one billion, one hundred twenty million, two hundred two thousand, one hundred twenty".