20101011001101 has 24 divisors (see below), whose sum is σ = 29074356481560. Its totient is φ = 13382415720576.

The previous prime is 20101011001051. The next prime is 20101011001133. The reversal of 20101011001101 is 10110011010102.

It can be written as a sum of positive squares in 4 ways, for example, as 12648798945225 + 7452212055876 = 3556515^2 + 2729874^2 .

It is not a de Polignac number, because 20101011001101 - 2⁹ = 20101011000589 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 (20101011008101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224164191 + ... + 224253843.

It is an arithmetic number, because the mean of its divisors is an integer number (1211431520065).

Almost surely, 2^{20101011001101} is an apocalyptic number.

It is an amenable number.

20101011001101 is a deficient number, since it is larger than the sum of its proper divisors (8973345480459).

20101011001101 is a wasteful number, since it uses less digits than its factorization.

20101011001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123325 (or 123322 counting only the distinct ones).

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

Adding to 20101011001101 its reverse (10110011010102), we get a palindrome (30211022011203).

Subtracting from 20101011001101 its reverse (10110011010102), we obtain a palindrome (9990999990999).

The spelling of 20101011001101 in words is "twenty trillion, one hundred one billion, eleven million, one thousand, one hundred one".