101011010100011 has 32 divisors (see below), whose sum is σ = 114513528729600. Its totient is φ = 88301811744000.

The previous prime is 101011010099983. The next prime is 101011010100031. The reversal of 101011010100011 is 110001010110101.

It is a cyclic number.

It is not a de Polignac number, because 101011010100011 - 2⁶ = 101011010099947 is a prime.

It is a super-2 number, since 2×101011010100011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101011010100031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4010360 + ... + 14768378.

It is an arithmetic number, because the mean of its divisors is an integer number (3578547772800).

Almost surely, 2^{101011010100011} is an apocalyptic number.

101011010100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101011010100011 is a deficient number, since it is larger than the sum of its proper divisors (13502518629589).

101011010100011 is a wasteful number, since it uses less digits than its factorization.

101011010100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10758371.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101011010100011 its reverse (110001010110101), we get a palindrome (211012020210112).

The spelling of 101011010100011 in words is "one hundred one trillion, eleven billion, ten million, one hundred thousand, eleven".