1020133102120 has 32 divisors (see below), whose sum is σ = 2503963069920. Its totient is φ = 370957491520.

The previous prime is 1020133102111. The next prime is 1020133102127. The reversal of 1020133102120 is 212013310201.

It is a junction number, because it is equal to n+sod(n) for n = 1020133102094 and 1020133102103.

It is not an unprimeable number, because it can be changed into a prime (1020133102127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1159241722 + ... + 1159242601.

It is an arithmetic number, because the mean of its divisors is an integer number (78248845935).

Almost surely, 2^{1020133102120} is an apocalyptic number.

1020133102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020133102120 is an abundant number, since it is smaller than the sum of its proper divisors (1483829967800).

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

1020133102120 is a wasteful number, since it uses less digits than its factorization.

1020133102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318484345 (or 2318484341 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1020133102120 its reverse (212013310201), we get a palindrome (1232146412321).

The spelling of 1020133102120 in words is "one trillion, twenty billion, one hundred thirty-three million, one hundred two thousand, one hundred twenty".