101011000101 has 16 divisors (see below), whose sum is σ = 147348523008. Its totient is φ = 61042358000.

The previous prime is 101010999997. The next prime is 101011000133. The reversal of 101011000101 is 101000110101.

It is a cyclic number.

It is not a de Polignac number, because 101011000101 - 2¹³ = 101010991909 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101011000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011000201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4399125 + ... + 4422026.

It is an arithmetic number, because the mean of its divisors is an integer number (9209282688).

Almost surely, 2^101011000101 is an apocalyptic number.

101011000101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101011000101 is a deficient number, since it is larger than the sum of its proper divisors (46337522907).

101011000101 is a wasteful number, since it uses less digits than its factorization.

101011000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8821512.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101011000101 its reverse (101000110101), we get a palindrome (202011110202).

Subtracting from 101011000101 its reverse (101000110101), we obtain a square (10890000 = 3300²).

The spelling of 101011000101 in words is "one hundred one billion, eleven million, one hundred one", and thus it is an aban number.