101220101010101 has 8 divisors (see below), whose sum is σ = 101398794127320. Its totient is φ = 101041410707712.

The previous prime is 101220101010053. The next prime is 101220101010107. The reversal of 101220101010101 is 101010101022101.

It can be written as a sum of positive squares in 4 ways, for example, as 732006869476 + 100488094140625 = 855574^2 + 10024375^2 .

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 101220101010101 - 2¹⁴ = 101220100993717 is a prime.

It is a Duffinian number.

101220101010101 is a modest number, since divided by 101010101 gives 10122 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220101010107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79295951 + ... + 80562323.

It is an arithmetic number, because the mean of its divisors is an integer number (12674849265915).

Almost surely, 2^{101220101010101} is an apocalyptic number.

It is an amenable number.

101220101010101 is a deficient number, since it is larger than the sum of its proper divisors (178693117219).

101220101010101 is a wasteful number, since it uses less digits than its factorization.

101220101010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407415.

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

Adding to 101220101010101 its reverse (101010101022101), we get a palindrome (202230202032202).

The spelling of 101220101010101 in words is "one hundred one trillion, two hundred twenty billion, one hundred one million, ten thousand, one hundred one".