101000101102011 has 6 divisors (see below), whose sum is σ = 145889034925140. Its totient is φ = 67333400734668.

The previous prime is 101000101102003. The next prime is 101000101102139. The reversal of 101000101102011 is 110201101000101.

It is not a de Polignac number, because 101000101102011 - 2³ = 101000101102003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11222233455779 = 101000101102011 / (1 + 0 + 1 + 0 + 0 + 0 + 1 + 0 + 1 + 1 + 0 + 2 + 0 + 1 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 101000101101984 and 101000101102002.

It is not an unprimeable number, because it can be changed into a prime (101000101102001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5611116727881 + ... + 5611116727898.

It is an arithmetic number, because the mean of its divisors is an integer number (24314839154190).

Almost surely, 2^{101000101102011} is an apocalyptic number.

101000101102011 is a deficient number, since it is larger than the sum of its proper divisors (44888933823129).

101000101102011 is a wasteful number, since it uses less digits than its factorization.

101000101102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11222233455785 (or 11222233455782 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101000101102011 its reverse (110201101000101), we get a palindrome (211201202102112).

The spelling of 101000101102011 in words is "one hundred one trillion, one hundred one million, one hundred two thousand, eleven".