1102211201201 has 6 divisors (see below), whose sum is σ = 1211521403106. Its totient is φ = 1002010182800.

The previous prime is 1102211201183. The next prime is 1102211201213. The reversal of 1102211201201 is 1021021122011.

It can be written as a sum of positive squares in only one way, i.e., 981385441201 + 120825760000 = 990649^2 + 347600^2 .

It is not a de Polignac number, because 1102211201201 - 2⁶ = 1102211201137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1102211201501) 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, 4554591620 + ... + 4554591861.

It is an arithmetic number, because the mean of its divisors is an integer number (201920233851).

Almost surely, 2^{1102211201201} is an apocalyptic number.

1102211201201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1102211201201 is a deficient number, since it is larger than the sum of its proper divisors (109310201905).

1102211201201 is an equidigital number, since it uses as much as digits as its factorization.

1102211201201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9109183503 (or 9109183492 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1102211201201 its reverse (1021021122011), we get a palindrome (2123232323212).

The spelling of 1102211201201 in words is "one trillion, one hundred two billion, two hundred eleven million, two hundred one thousand, two hundred one".