1011121211020 has 12 divisors (see below), whose sum is σ = 2123354543184. Its totient is φ = 404448484400.

The previous prime is 1011121210969. The next prime is 1011121211021. The reversal of 1011121211020 is 201121211101.

It is a happy number.

1011121211020 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-3 number, since 3×1011121211020³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1011121211021) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25278030256 + ... + 25278030295.

It is an arithmetic number, because the mean of its divisors is an integer number (176946211932).

Almost surely, 2^{1011121211020} is an apocalyptic number.

1011121211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011121211020 is an abundant number, since it is smaller than the sum of its proper divisors (1112233332164).

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

1011121211020 is a wasteful number, since it uses less digits than its factorization.

1011121211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50556060560 (or 50556060558 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1011121211020 its reverse (201121211101), we get a palindrome (1212242422121).

The spelling of 1011121211020 in words is "one trillion, eleven billion, one hundred twenty-one million, two hundred eleven thousand, twenty".