1102101102101 has 8 divisors (see below), whose sum is σ = 1153243990584. Its totient is φ = 1052082233280.

The previous prime is 1102101102077. The next prime is 1102101102103. The reversal of 1102101102101 is 1012011012011.

It can be written as a sum of positive squares in 4 ways, for example, as 167505207076 + 934595895025 = 409274^2 + 966745^2 .

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 1102101102101 - 2²² = 1102096907797 is a prime.

It is a super-2 number, since 2×1102101102101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102101102103) 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, 281002910 + ... + 281006831.

It is an arithmetic number, because the mean of its divisors is an integer number (144155498823).

Almost surely, 2^{1102101102101} is an apocalyptic number.

It is an amenable number.

1102101102101 is a deficient number, since it is larger than the sum of its proper divisors (51142888483).

1102101102101 is an equidigital number, since it uses as much as digits as its factorization.

1102101102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562009831.

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

Adding to 1102101102101 its reverse (1012011012011), we get a palindrome (2114112114112).

The spelling of 1102101102101 in words is "one trillion, one hundred two billion, one hundred one million, one hundred two thousand, one hundred one".