1011002002120 has 64 divisors (see below), whose sum is σ = 2481790622400. Its totient is φ = 367601498880.

The previous prime is 1011002002111. The next prime is 1011002002139. The reversal of 1011002002120 is 212002001101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1011002002097 and 1011002002106.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4672162 + ... + 4883758.

It is an arithmetic number, because the mean of its divisors is an integer number (38777978475).

Almost surely, 2^{1011002002120} is an apocalyptic number.

1011002002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011002002120 is an abundant number, since it is smaller than the sum of its proper divisors (1470788620280).

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

1011002002120 is a wasteful number, since it uses less digits than its factorization.

1011002002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222478 (or 222474 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1011002002120 its reverse (212002001101), we get a palindrome (1223004003221).

The spelling of 1011002002120 in words is "one trillion, eleven billion, two million, two thousand, one hundred twenty".