1020121000020 has 120 divisors (see below), whose sum is σ = 3213437250408. Its totient is φ = 270903398400.

The previous prime is 1020120999983. The next prime is 1020121000051. The reversal of 1020121000020 is 200001210201.

1020121000020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16429599684 + 1003691400336 = 128178^2 + 1001844^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1020120999966 and 1020121000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 916021 + ... + 1696860.

Almost surely, 2^{1020121000020} is an apocalyptic number.

1020121000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020121000020 is an abundant number, since it is smaller than the sum of its proper divisors (2193316250388).

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

1020121000020 is a wasteful number, since it uses less digits than its factorization.

1020121000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613143 (or 2613132 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1020121000020 its reverse (200001210201), we get a palindrome (1220122210221).

The spelling of 1020121000020 in words is "one trillion, twenty billion, one hundred twenty-one million, twenty", and thus it is an aban number.