1002121111011 has 32 divisors (see below), whose sum is σ = 1409263488000. Its totient is φ = 631669701888.

The previous prime is 1002121111009. The next prime is 1002121111039. The reversal of 1002121111011 is 1101111212001.

1002121111011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1002121111011 - 2¹ = 1002121111009 is a prime.

It is a super-2 number, since 2×1002121111011² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1002121111111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81672985 + ... + 81685253.

It is an arithmetic number, because the mean of its divisors is an integer number (44039484000).

Almost surely, 2^{1002121111011} is an apocalyptic number.

1002121111011 is a deficient number, since it is larger than the sum of its proper divisors (407142376989).

1002121111011 is a wasteful number, since it uses less digits than its factorization.

1002121111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15003.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1002121111011 its reverse (1101111212001), we get a palindrome (2103232323012).

The spelling of 1002121111011 in words is "one trillion, two billion, one hundred twenty-one million, one hundred eleven thousand, eleven".