1100201002101 has 20 divisors (see below), whose sum is σ = 1643541971500. Its totient is φ = 733453128576.

The previous prime is 1100201002067. The next prime is 1100201002141. The reversal of 1100201002101 is 1012001020011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 962608227876 + 137592774225 = 981126^2 + 370935^2 .

It is not a de Polignac number, because 1100201002101 - 2⁷ = 1100201001973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100201002141) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5618205 + ... + 5810733.

It is an arithmetic number, because the mean of its divisors is an integer number (82177098575).

Almost surely, 2^{1100201002101} is an apocalyptic number.

It is an amenable number.

1100201002101 is a deficient number, since it is larger than the sum of its proper divisors (543340969399).

1100201002101 is an equidigital number, since it uses as much as digits as its factorization.

1100201002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263090 (or 263081 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1100201002101 its reverse (1012001020011), we get a palindrome (2112202022112).

The spelling of 1100201002101 in words is "one trillion, one hundred billion, two hundred one million, two thousand, one hundred one".