20101121020020 has 48 divisors (see below), whose sum is σ = 57345084881280. Its totient is φ = 5259161222016.

The previous prime is 20101121020009. The next prime is 20101121020033. The reversal of 20101121020020 is 2002012110102.

It is a super-2 number, since 2×20101121020020² (a number of 27 digits) contains 22 as substring.

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 = 20101121019978 and 20101121020005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3160550440 + ... + 3160556799.

It is an arithmetic number, because the mean of its divisors is an integer number (1194689268360).

Almost surely, 2^{20101121020020} is an apocalyptic number.

20101121020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101121020020 is an abundant number, since it is smaller than the sum of its proper divisors (37243963861260).

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

20101121020020 is a wasteful number, since it uses less digits than its factorization.

20101121020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6321107304 (or 6321107302 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20101121020020 its reverse (2002012110102), we get a palindrome (22103133130122).

It can be divided in two parts, 20101 and 121020020, that added together give a palindrome (121040121).

The spelling of 20101121020020 in words is "twenty trillion, one hundred one billion, one hundred twenty-one million, twenty thousand, twenty".