1211011001101 has 6 divisors (see below), whose sum is σ = 1331111265806. Its totient is φ = 1100919091800.

The previous prime is 1211011001099. The next prime is 1211011001107. The reversal of 1211011001101 is 1011001101121.

It can be written as a sum of positive squares in only one way, i.e., 755811151876 + 455199849225 = 869374^2 + 674685^2 .

It is not a de Polignac number, because 1211011001101 - 2¹ = 1211011001099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211011001107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5004177570 + ... + 5004177811.

Almost surely, 2^{1211011001101} is an apocalyptic number.

1211011001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1211011001101 is a deficient number, since it is larger than the sum of its proper divisors (120100264705).

1211011001101 is a wasteful number, since it uses less digits than its factorization.

1211011001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10008355403 (or 10008355392 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1211011001101 its reverse (1011001101121), we get a palindrome (2222012102222).

It can be divided in two parts, 121 and 1011001101, that multiplied together give a palindrome (122331133221).

The spelling of 1211011001101 in words is "one trillion, two hundred eleven billion, eleven million, one thousand, one hundred one".