1211001100101 has 12 divisors (see below), whose sum is σ = 1883779489228. Its totient is φ = 745231446144.

The previous prime is 1211001100087. The next prime is 1211001100121. The reversal of 1211001100101 is 1010011001121.

It can be written as a sum of positive squares in 2 ways, for example, as 811393799076 + 399607301025 = 900774^2 + 632145^2 .

It is not a de Polignac number, because 1211001100101 - 2⁵ = 1211001100069 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 (1211001100121) 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, 5175218260 + ... + 5175218493.

Almost surely, 2^{1211001100101} is an apocalyptic number.

It is an amenable number.

1211001100101 is a deficient number, since it is larger than the sum of its proper divisors (672778389127).

1211001100101 is a wasteful number, since it uses less digits than its factorization.

1211001100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10350436772 (or 10350436769 counting only the distinct ones).

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

Adding to 1211001100101 its reverse (1010011001121), we get a palindrome (2221012101222).

The spelling of 1211001100101 in words is "one trillion, two hundred eleven billion, one million, one hundred thousand, one hundred one".