1102102101101 has 8 divisors (see below), whose sum is σ = 1132766807160. Its totient is φ = 1071483614208.

The previous prime is 1102102101007. The next prime is 1102102101119. The reversal of 1102102101101 is 1011012012011.

It can be written as a sum of positive squares in 4 ways, for example, as 548118122500 + 553983978601 = 740350^2 + 744301^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1102102101101 - 2²⁶ = 1102034992237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102102101131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11506436 + ... + 11601821.

It is an arithmetic number, because the mean of its divisors is an integer number (141595850895).

Almost surely, 2^{1102102101101} is an apocalyptic number.

It is an amenable number.

1102102101101 is a deficient number, since it is larger than the sum of its proper divisors (30664706059).

1102102101101 is a wasteful number, since it uses less digits than its factorization.

1102102101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23109583.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1102102101101 its reverse (1011012012011), we get a palindrome (2113114113112).

The spelling of 1102102101101 in words is "one trillion, one hundred two billion, one hundred two million, one hundred one thousand, one hundred one".