1011102102011 has 16 divisors (see below), whose sum is σ = 1056508004160. Its totient is φ = 965817262080.

The previous prime is 1011102101963. The next prime is 1011102102013. The reversal of 1011102102011 is 1102012011101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1011102102011 is a prime.

It is a super-3 number, since 3×1011102102011³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011102101983 and 1011102102001.

It is not an unprimeable number, because it can be changed into a prime (1011102102013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130612601 + ... + 130620341.

It is an arithmetic number, because the mean of its divisors is an integer number (66031750260).

Almost surely, 2^{1011102102011} is an apocalyptic number.

1011102102011 is a deficient number, since it is larger than the sum of its proper divisors (45405902149).

1011102102011 is an equidigital number, since it uses as much as digits as its factorization.

1011102102011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14806.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1011102102011 its reverse (1102012011101), we get a palindrome (2113114113112).

The spelling of 1011102102011 in words is "one trillion, eleven billion, one hundred two million, one hundred two thousand, eleven".