1002011211120 has 40 divisors (see below), whose sum is σ = 3106234755216. Its totient is φ = 267202989568.

The previous prime is 1002011211109. The next prime is 1002011211121. The reversal of 1002011211120 is 211121102001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1002011211096 and 1002011211105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002011211121) 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, 2087523117 + ... + 2087523596.

Almost surely, 2^{1002011211120} is an apocalyptic number.

1002011211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002011211120 is an abundant number, since it is smaller than the sum of its proper divisors (2104223544096).

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

1002011211120 is a wasteful number, since it uses less digits than its factorization.

1002011211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175046729 (or 4175046723 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1002011211120 its reverse (211121102001), we get a palindrome (1213132313121).

The spelling of 1002011211120 in words is "one trillion, two billion, eleven million, two hundred eleven thousand, one hundred twenty".