1102122010001 has 32 divisors (see below), whose sum is σ = 1189281792000. Its totient is φ = 1018274991552.

The previous prime is 1102122009997. The next prime is 1102122010021. The reversal of 1102122010001 is 1000102212011.

It is not a de Polignac number, because 1102122010001 - 2² = 1102122009997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1102122010021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43640960 + ... + 43666206.

It is an arithmetic number, because the mean of its divisors is an integer number (37165056000).

Almost surely, 2^{1102122010001} is an apocalyptic number.

It is an amenable number.

1102122010001 is a deficient number, since it is larger than the sum of its proper divisors (87159781999).

1102122010001 is a wasteful number, since it uses less digits than its factorization.

1102122010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25701.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1102122010001 its reverse (1000102212011), we get a palindrome (2102224222012).

The spelling of 1102122010001 in words is "one trillion, one hundred two billion, one hundred twenty-two million, ten thousand, one".