11001102102101 has 8 divisors (see below), whose sum is σ = 11114606130264. Its totient is φ = 10887599923200.

The previous prime is 11001102102097. The next prime is 11001102102119. The reversal of 11001102102101 is 10120120110011.

It can be written as a sum of positive squares in 4 ways, for example, as 2908385749201 + 8092716352900 = 1705399^2 + 2844770^2 .

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 11001102102101 - 2² = 11001102102097 is a prime.

It is a super-2 number, since 2×11001102102101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001102102301) 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, 13733831 + ... + 14512763.

It is an arithmetic number, because the mean of its divisors is an integer number (1389325766283).

Almost surely, 2^{11001102102101} is an apocalyptic number.

It is an amenable number.

11001102102101 is a deficient number, since it is larger than the sum of its proper divisors (113504028163).

11001102102101 is an equidigital number, since it uses as much as digits as its factorization.

11001102102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924631.

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

Adding to 11001102102101 its reverse (10120120110011), we get a palindrome (21121222212112).

The spelling of 11001102102101 in words is "eleven trillion, one billion, one hundred two million, one hundred two thousand, one hundred one".