1020202121120 has 192 divisors, whose sum is σ = 3122562804480. Its totient is φ = 305883537408.

The previous prime is 1020202121047. The next prime is 1020202121153. The reversal of 1020202121120 is 211212020201.

1020202121120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1020202121095 and 1020202121104.

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, 1567277 + ... + 2120556.

It is an arithmetic number, because the mean of its divisors is an integer number (16263347940).

Almost surely, 2^{1020202121120} is an apocalyptic number.

1020202121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020202121120 is an abundant number, since it is smaller than the sum of its proper divisors (2102360683360).

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

1020202121120 is a wasteful number, since it uses less digits than its factorization.

1020202121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687887 (or 3687879 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1020202121120 its reverse (211212020201), we get a palindrome (1231414141321).

The spelling of 1020202121120 in words is "one trillion, twenty billion, two hundred two million, one hundred twenty-one thousand, one hundred twenty".