1001211101205 has 16 divisors (see below), whose sum is σ = 1830786013824. Its totient is φ = 457696503360.

The previous prime is 1001211101183. The next prime is 1001211101221. The reversal of 1001211101205 is 5021011121001.

It is not a de Polignac number, because 1001211101205 - 2⁵ = 1001211101173 is a prime.

It is a super-2 number, since 2×1001211101205² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4767671806 + ... + 4767672015.

It is an arithmetic number, because the mean of its divisors is an integer number (114424125864).

Almost surely, 2^{1001211101205} is an apocalyptic number.

1001211101205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1001211101205 is a deficient number, since it is larger than the sum of its proper divisors (829574912619).

1001211101205 is an equidigital number, since it uses as much as digits as its factorization.

1001211101205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9535343836.

The product of its (nonzero) digits is 20, while the sum is 15.

Adding to 1001211101205 its reverse (5021011121001), we get a palindrome (6022222222206).

The spelling of 1001211101205 in words is "one trillion, one billion, two hundred eleven million, one hundred one thousand, two hundred five".