1012121011020 has 96 divisors (see below), whose sum is σ = 3429304155648. Its totient is φ = 217733594112.

The previous prime is 1012121010991. The next prime is 1012121011039. The reversal of 1012121011020 is 201101212101.

1012121011020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1012121011020² (a number of 25 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 = 1012121010987 and 1012121011005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70869682 + ... + 70883961.

It is an arithmetic number, because the mean of its divisors is an integer number (35721918288).

Almost surely, 2^{1012121011020} is an apocalyptic number.

1012121011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012121011020 is an abundant number, since it is smaller than the sum of its proper divisors (2417183144628).

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

1012121011020 is a wasteful number, since it uses less digits than its factorization.

1012121011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141753679 (or 141753677 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1012121011020 its reverse (201101212101), we get a palindrome (1213222223121).

The spelling of 1012121011020 in words is "one trillion, twelve billion, one hundred twenty-one million, eleven thousand, twenty".