10101101101021 has 16 divisors (see below), whose sum is σ = 11912066064000. Its totient is φ = 8560804759584.

The previous prime is 10101101100941. The next prime is 10101101101051. The reversal of 10101101101021 is 12010110110101.

It is not a de Polignac number, because 10101101101021 - 2¹⁹ = 10101100576733 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101101100989 and 10101101101007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101101101051) 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, 165414835 + ... + 165475888.

It is an arithmetic number, because the mean of its divisors is an integer number (744504129000).

Almost surely, 2^{10101101101021} is an apocalyptic number.

It is an amenable number.

10101101101021 is a deficient number, since it is larger than the sum of its proper divisors (1810964962979).

10101101101021 is an frugal number, since it uses more digits than its factorization.

10101101101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330890833 (or 330890819 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10101101101021 its reverse (12010110110101), we get a palindrome (22111211211122).

The spelling of 10101101101021 in words is "ten trillion, one hundred one billion, one hundred one million, one hundred one thousand, twenty-one".