1220211002101 has 12 divisors (see below), whose sum is σ = 1528615981452. Its totient is φ = 965441671488.

The previous prime is 1220211002089. The next prime is 1220211002113. The reversal of 1220211002101 is 1012001120221.

It is an interprime number because it is at equal distance from previous prime (1220211002089) and next prime (1220211002113).

It can be written as a sum of positive squares in 2 ways, for example, as 131529528900 + 1088681473201 = 362670^2 + 1043399^2 .

It is not a de Polignac number, because 1220211002101 - 2¹⁵ = 1220210969333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220211002201) 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, 957778800 + ... + 957780073.

It is an arithmetic number, because the mean of its divisors is an integer number (127384665121).

Almost surely, 2^{1220211002101} is an apocalyptic number.

It is an amenable number.

1220211002101 is a deficient number, since it is larger than the sum of its proper divisors (308404979351).

1220211002101 is a wasteful number, since it uses less digits than its factorization.

1220211002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915558900 (or 1915558893 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1220211002101 its reverse (1012001120221), we get a palindrome (2232212122322).

The spelling of 1220211002101 in words is "one trillion, two hundred twenty billion, two hundred eleven million, two thousand, one hundred one".