1002101033011 has 16 divisors (see below), whose sum is σ = 1108422000000. Its totient is φ = 899959794048.

The previous prime is 1002101032993. The next prime is 1002101033039. The reversal of 1002101033011 is 1103301012001.

It is a cyclic number.

It is not a de Polignac number, because 1002101033011 - 2²⁵ = 1002067478579 is a prime.

It is a super-2 number, since 2×1002101033011² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002101032982 and 1002101033000.

It is not an unprimeable number, because it can be changed into a prime (1002101033071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8962710 + ... + 9073828.

It is an arithmetic number, because the mean of its divisors is an integer number (69276375000).

Almost surely, 2^{1002101033011} is an apocalyptic number.

1002101033011 is a deficient number, since it is larger than the sum of its proper divisors (106320966989).

1002101033011 is a wasteful number, since it uses less digits than its factorization.

1002101033011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129918.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1002101033011 its reverse (1103301012001), we get a palindrome (2105402045012).

The spelling of 1002101033011 in words is "one trillion, two billion, one hundred one million, thirty-three thousand, eleven".