101121102101 has 4 divisors (see below), whose sum is σ = 101308017804. Its totient is φ = 100934186400.

The previous prime is 101121102079. The next prime is 101121102109. The reversal of 101121102101 is 101201121101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 28571140900 + 72549961201 = 169030^2 + 269351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101121102101 is a prime.

It is a super-2 number, since 2×101121102101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121102109) 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 3 ways as a sum of consecutive naturals, for example, 93457040 + ... + 93458121.

It is an arithmetic number, because the mean of its divisors is an integer number (25327004451).

Almost surely, 2^101121102101 is an apocalyptic number.

It is an amenable number.

101121102101 is a deficient number, since it is larger than the sum of its proper divisors (186915703).

101121102101 is an equidigital number, since it uses as much as digits as its factorization.

101121102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186915702.

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

Adding to 101121102101 its reverse (101201121101), we get a palindrome (202322223202).

The spelling of 101121102101 in words is "one hundred one billion, one hundred twenty-one million, one hundred two thousand, one hundred one".