1221101010101 has 16 divisors (see below), whose sum is σ = 1397157465600. Its totient is φ = 1045448559600.

The previous prime is 1221101010089. The next prime is 1221101010113. The reversal of 1221101010101 is 1010101011221.

It is an interprime number because it is at equal distance from previous prime (1221101010089) and next prime (1221101010113).

It is a cyclic number.

It is not a de Polignac number, because 1221101010101 - 2¹⁸ = 1221100747957 is a prime.

It is a super-3 number, since 3×1221101010101³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

1221101010101 is a modest number, since divided by 1010101 gives 12211 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221101012101) 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, 24668426 + ... + 24717876.

It is an arithmetic number, because the mean of its divisors is an integer number (87322341600).

Almost surely, 2^{1221101010101} is an apocalyptic number.

It is an amenable number.

1221101010101 is a deficient number, since it is larger than the sum of its proper divisors (176056455499).

1221101010101 is a wasteful number, since it uses less digits than its factorization.

1221101010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53464.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1221101010101 its reverse (1010101011221), we get a palindrome (2231202021322).

It can be divided in two parts, 1221 and 101010101, that multiplied together give a palindrome (123333333321).

The spelling of 1221101010101 in words is "one trillion, two hundred twenty-one billion, one hundred one million, ten thousand, one hundred one".