1220101100101 has 8 divisors (see below), whose sum is σ = 1314386019800. Its totient is φ = 1125877750272.

The previous prime is 1220101100089. The next prime is 1220101100107. The reversal of 1220101100101 is 1010011010221.

It can be written as a sum of positive squares in 4 ways, for example, as 11477908225 + 1208623191876 = 107135^2 + 1099374^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1220101100101 - 2²¹ = 1220099002949 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 (1220101100107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15351300 + ... + 15430573.

It is an arithmetic number, because the mean of its divisors is an integer number (164298252475).

Almost surely, 2^{1220101100101} is an apocalyptic number.

It is an amenable number.

1220101100101 is a deficient number, since it is larger than the sum of its proper divisors (94284919699).

1220101100101 is a wasteful number, since it uses less digits than its factorization.

1220101100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30784935.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1220101100101 its reverse (1010011010221), we get a palindrome (2230112110322).

The spelling of 1220101100101 in words is "one trillion, two hundred twenty billion, one hundred one million, one hundred thousand, one hundred one".