101011120122121 has 8 divisors (see below), whose sum is σ = 110546006573664. Its totient is φ = 91534909895520.

The previous prime is 101011120122071. The next prime is 101011120122151. The reversal of 101011120122121 is 121221021110101.

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 101011120122121 - 2³¹ = 101008972638473 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101011120122095 and 101011120122104.

It is not an unprimeable number, because it can be changed into a prime (101011120122151) 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, 14669052631 + ... + 14669059516.

It is an arithmetic number, because the mean of its divisors is an integer number (13818250821708).

Almost surely, 2^{101011120122121} is an apocalyptic number.

101011120122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101011120122121 is a deficient number, since it is larger than the sum of its proper divisors (9534886451543).

101011120122121 is a wasteful number, since it uses less digits than its factorization.

101011120122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29338112471.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 101011120122121 its reverse (121221021110101), we get a palindrome (222232141232222).

The spelling of 101011120122121 in words is "one hundred one trillion, eleven billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twenty-one".