20101022121020 has 192 divisors, whose sum is σ = 45298864300032. Its totient is φ = 7478790144000.

The previous prime is 20101022121007. The next prime is 20101022121073. The reversal of 20101022121020 is 2012122010102.

It is a junction number, because it is equal to n+sod(n) for n = 20101022120986 and 20101022121004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3062776259 + ... + 3062782821.

It is an arithmetic number, because the mean of its divisors is an integer number (235931584896).

Almost surely, 2^{20101022121020} is an apocalyptic number.

20101022121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20101022121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22649432150016).

20101022121020 is an abundant number, since it is smaller than the sum of its proper divisors (25197842179012).

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

20101022121020 is a wasteful number, since it uses less digits than its factorization.

20101022121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8412 (or 8410 counting only the distinct ones).

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

Adding to 20101022121020 its reverse (2012122010102), we get a palindrome (22113144131122).

The spelling of 20101022121020 in words is "twenty trillion, one hundred one billion, twenty-two million, one hundred twenty-one thousand, twenty".