101101000201011 has 24 divisors (see below), whose sum is σ = 154626182362080. Its totient is φ = 63435460882176.

The previous prime is 101101000200979. The next prime is 101101000201013. The reversal of 101101000201011 is 110102000101101.

It is not a de Polignac number, because 101101000201011 - 2⁵ = 101101000200979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101101000200984 and 101101000201002.

It is not an unprimeable number, because it can be changed into a prime (101101000201013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19374370 + ... + 24032648.

It is an arithmetic number, because the mean of its divisors is an integer number (6442757598420).

Almost surely, 2^{101101000201011} is an apocalyptic number.

101101000201011 is a deficient number, since it is larger than the sum of its proper divisors (53525182161069).

101101000201011 is a wasteful number, since it uses less digits than its factorization.

101101000201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4800155 (or 4800152 counting only the distinct ones).

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

Adding to 101101000201011 its reverse (110102000101101), we get a palindrome (211203000302112).

The spelling of 101101000201011 in words is "one hundred one trillion, one hundred one billion, two hundred one thousand, eleven".