1220100212101 has 16 divisors (see below), whose sum is σ = 1232406068400. Its totient is φ = 1207862231040.

The previous prime is 1220100212057. The next prime is 1220100212113. The reversal of 1220100212101 is 1012120010221.

It can be written as a sum of positive squares in 8 ways, for example, as 8447448100 + 1211652764001 = 91910^2 + 1100751^2 .

It is a cyclic number.

It is not a de Polignac number, because 1220100212101 - 2¹³ = 1220100203909 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 (1220100212701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87637621 + ... + 87651541.

It is an arithmetic number, because the mean of its divisors is an integer number (77025379275).

Almost surely, 2^{1220100212101} is an apocalyptic number.

It is an amenable number.

1220100212101 is a deficient number, since it is larger than the sum of its proper divisors (12305856299).

1220100212101 is a wasteful number, since it uses less digits than its factorization.

1220100212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16296.

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

Adding to 1220100212101 its reverse (1012120010221), we get a palindrome (2232220222322).

The spelling of 1220100212101 in words is "one trillion, two hundred twenty billion, one hundred million, two hundred twelve thousand, one hundred one".