1011101202001 has 12 divisors (see below), whose sum is σ = 1129594983412. Its totient is φ = 904114332000.

The previous prime is 1011101201953. The next prime is 1011101202073. The reversal of 1011101202001 is 1002021011101.

It can be written as a sum of positive squares in 2 ways, for example, as 129455320401 + 881645881600 = 359799^2 + 938960^2 .

It is not a de Polignac number, because 1011101202001 - 2⁹ = 1011101201489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011101206001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68486130 + ... + 68500891.

Almost surely, 2^{1011101202001} is an apocalyptic number.

1011101202001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011101202001 is a deficient number, since it is larger than the sum of its proper divisors (118493781411).

1011101202001 is a wasteful number, since it uses less digits than its factorization.

1011101202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136987104 (or 136987093 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1011101202001 its reverse (1002021011101), we get a palindrome (2013122213102).

The spelling of 1011101202001 in words is "one trillion, eleven billion, one hundred one million, two hundred two thousand, one".