101001002011 has 24 divisors (see below), whose sum is σ = 126862879920. Its totient is φ = 79701838272.

The previous prime is 101001001939. The next prime is 101001002027. The reversal of 101001002011 is 110200100101.

It is not a de Polignac number, because 101001002011 - 2⁷ = 101001001883 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 101001001985 and 101001002003.

It is not an unprimeable number, because it can be changed into a prime (101001002041) 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 23 ways as a sum of consecutive naturals, for example, 32245 + ... + 450601.

It is an arithmetic number, because the mean of its divisors is an integer number (5285953330).

Almost surely, 2^101001002011 is an apocalyptic number.

101001002011 is a deficient number, since it is larger than the sum of its proper divisors (25861877909).

101001002011 is a wasteful number, since it uses less digits than its factorization.

101001002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418763 (or 418756 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101001002011 its reverse (110200100101), we get a palindrome (211201102112).

The spelling of 101001002011 in words is "one hundred one billion, one million, two thousand, eleven".