1121101131020 has 96 divisors (see below), whose sum is σ = 2573800938240. Its totient is φ = 407693813760.

The previous prime is 1121101130957. The next prime is 1121101131041. The reversal of 1121101131020 is 201311011211.

It is a junction number, because it is equal to n+sod(n) for n = 1121101130986 and 1121101131004.

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 31 ways as a sum of consecutive naturals, for example, 13415165 + ... + 13498475.

It is an arithmetic number, because the mean of its divisors is an integer number (26810426440).

Almost surely, 2^{1121101131020} is an apocalyptic number.

1121101131020 is a gapful number since it is divisible by the number (10) 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 1121101131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286900469120).

1121101131020 is an abundant number, since it is smaller than the sum of its proper divisors (1452699807220).

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

1121101131020 is a wasteful number, since it uses less digits than its factorization.

1121101131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84115 (or 84113 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 1121101131020 its reverse (201311011211), we get a palindrome (1322412142231).

The spelling of 1121101131020 in words is "one trillion, one hundred twenty-one billion, one hundred one million, one hundred thirty-one thousand, twenty".