101011011010011 has 12 divisors (see below), whose sum is σ = 145905113619720. Its totient is φ = 67340526342720.

The previous prime is 101011011009983. The next prime is 101011011010057. The reversal of 101011011010011 is 110010110110101.

It is not a de Polignac number, because 101011011010011 - 2¹³ = 101011011001819 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 = 101011011009975 and 101011011010002.

It is not an unprimeable number, because it can be changed into a prime (101011011010061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7889550 + ... + 16256291.

It is an arithmetic number, because the mean of its divisors is an integer number (12158759468310).

Almost surely, 2^{101011011010011} is an apocalyptic number.

101011011010011 is a deficient number, since it is larger than the sum of its proper divisors (44894102609709).

101011011010011 is a wasteful number, since it uses less digits than its factorization.

101011011010011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24610666 (or 24610663 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101011011010011 its reverse (110010110110101), we get a palindrome (211021121120112).

The spelling of 101011011010011 in words is "one hundred one trillion, eleven billion, eleven million, ten thousand, eleven".