1001111002120 has 64 divisors (see below), whose sum is σ = 2275852723200. Its totient is φ = 396296428800.

The previous prime is 1001111002103. The next prime is 1001111002121. The reversal of 1001111002120 is 212001111001.

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 = 1001111002097 and 1001111002106.

It is not an unprimeable number, because it can be changed into a prime (1001111002121) 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 15 ways as a sum of consecutive naturals, for example, 8860141 + ... + 8972419.

It is an arithmetic number, because the mean of its divisors is an integer number (35560198800).

Almost surely, 2^{1001111002120} is an apocalyptic number.

1001111002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001111002120 is an abundant number, since it is smaller than the sum of its proper divisors (1274741721080).

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

1001111002120 is a wasteful number, since it uses less digits than its factorization.

1001111002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114598 (or 114594 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1001111002120 its reverse (212001111001), we get a palindrome (1213112113121).

The spelling of 1001111002120 in words is "one trillion, one billion, one hundred eleven million, two thousand, one hundred twenty".