1101021110001 has 6 divisors (see below), whose sum is σ = 1590363825570. Its totient is φ = 734014073328.

The previous prime is 1101021109963. The next prime is 1101021110011. The reversal of 1101021110001 is 1000111201011.

It can be written as a sum of positive squares in only one way, i.e., 619140791025 + 481880318976 = 786855^2 + 694176^2 .

It is not a de Polignac number, because 1101021110001 - 2³⁴ = 1083841240817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 122335678889 = 1101021110001 / (1 + 1 + 0 + 1 + 0 + 2 + 1 + 1 + 1 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (1101021110011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61167839436 + ... + 61167839453.

It is an arithmetic number, because the mean of its divisors is an integer number (265060637595).

Almost surely, 2^{1101021110001} is an apocalyptic number.

It is an amenable number.

1101021110001 is a deficient number, since it is larger than the sum of its proper divisors (489342715569).

1101021110001 is a wasteful number, since it uses less digits than its factorization.

1101021110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122335678895 (or 122335678892 counting only the distinct ones).

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

Adding to 1101021110001 its reverse (1000111201011), we get a palindrome (2101132311012).

The spelling of 1101021110001 in words is "one trillion, one hundred one billion, twenty-one million, one hundred ten thousand, one".