1201011001101 has 12 divisors (see below), whose sum is σ = 1735871870460. Its totient is φ = 800176368960.

The previous prime is 1201011001093. The next prime is 1201011001121. The reversal of 1201011001101 is 1011001101021.

It can be written as a sum of positive squares in 2 ways, for example, as 819613355625 + 381397645476 = 905325^2 + 617574^2 .

It is not a de Polignac number, because 1201011001101 - 2³ = 1201011001093 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201011001121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41454030 + ... + 41482991.

It is an arithmetic number, because the mean of its divisors is an integer number (144655989205).

Almost surely, 2^{1201011001101} is an apocalyptic number.

It is an amenable number.

1201011001101 is a deficient number, since it is larger than the sum of its proper divisors (534860869359).

1201011001101 is a wasteful number, since it uses less digits than its factorization.

1201011001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82938636 (or 82938633 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1201011001101 its reverse (1011001101021), we get a palindrome (2212012102122).

The spelling of 1201011001101 in words is "one trillion, two hundred one billion, eleven million, one thousand, one hundred one".