1002120010011 has 24 divisors (see below), whose sum is σ = 1532692010304. Its totient is φ = 628765643520.

The previous prime is 1002120010007. The next prime is 1002120010057. The reversal of 1002120010011 is 1100100212001.

It is a happy number.

It is not a de Polignac number, because 1002120010011 - 2² = 1002120010007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002120009975 and 1002120010002.

It is not an unprimeable number, because it can be changed into a prime (1002120010711) 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 23 ways as a sum of consecutive naturals, for example, 12232990 + ... + 12314636.

It is an arithmetic number, because the mean of its divisors is an integer number (63862167096).

Almost surely, 2^{1002120010011} is an apocalyptic number.

1002120010011 is a deficient number, since it is larger than the sum of its proper divisors (530572000293).

1002120010011 is a wasteful number, since it uses less digits than its factorization.

1002120010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161891 (or 161888 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1002120010011 its reverse (1100100212001), we get a palindrome (2102220222012).

The spelling of 1002120010011 in words is "one trillion, two billion, one hundred twenty million, ten thousand, eleven".