121010121102101 has 16 divisors (see below), whose sum is σ = 150870822912000. Its totient is φ = 94292937397680.

The previous prime is 121010121102071. The next prime is 121010121102109. The reversal of 121010121102101 is 101201121010121.

It is a de Polignac number, because none of the positive numbers 2^k-121010121102101 is a prime.

It is a super-2 number, since 2×121010121102101² (a number of 29 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 (121010121102109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5631080 + ... + 16544766.

It is an arithmetic number, because the mean of its divisors is an integer number (9429426432000).

Almost surely, 2^{121010121102101} is an apocalyptic number.

121010121102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121010121102101 is a deficient number, since it is larger than the sum of its proper divisors (29860701809899).

121010121102101 is a wasteful number, since it uses less digits than its factorization.

121010121102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11057704.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 121010121102101 its reverse (101201121010121), we get a palindrome (222211242112222).

The spelling of 121010121102101 in words is "one hundred twenty-one trillion, ten billion, one hundred twenty-one million, one hundred two thousand, one hundred one".