10020101101101 has 48 divisors (see below), whose sum is σ = 18294959423104. Its totient is φ = 5142481333632.

The previous prime is 10020101101091. The next prime is 10020101101111. The reversal of 10020101101101 is 10110110102001.

It is an interprime number because it is at equal distance from previous prime (10020101101091) and next prime (10020101101111).

It is not a de Polignac number, because 10020101101101 - 2⁵ = 10020101101069 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020101101111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165301531 + ... + 165362136.

Almost surely, 2^{10020101101101} is an apocalyptic number.

It is an amenable number.

10020101101101 is a deficient number, since it is larger than the sum of its proper divisors (8274858322003).

10020101101101 is a wasteful number, since it uses less digits than its factorization.

10020101101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330663730 (or 330663727 counting only the distinct ones).

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

Adding to 10020101101101 its reverse (10110110102001), we get a palindrome (20130211203102).

The spelling of 10020101101101 in words is "ten trillion, twenty billion, one hundred one million, one hundred one thousand, one hundred one".