101002122000121 has 8 divisors (see below), whose sum is σ = 101494448786304. Its totient is φ = 100510210859280.

The previous prime is 101002122000113. The next prime is 101002122000139. The reversal of 101002122000121 is 121000221200101.

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 101002122000121 - 2³ = 101002122000113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101002122000151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103424145 + ... + 104396158.

It is an arithmetic number, because the mean of its divisors is an integer number (12686806098288).

Almost surely, 2^{101002122000121} is an apocalyptic number.

It is an amenable number.

101002122000121 is a deficient number, since it is larger than the sum of its proper divisors (492326786183).

101002122000121 is a wasteful number, since it uses less digits than its factorization.

101002122000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207822671.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101002122000121 its reverse (121000221200101), we get a palindrome (222002343200222).

The spelling of 101002122000121 in words is "one hundred one trillion, two billion, one hundred twenty-two million, one hundred twenty-one", and thus it is an aban number.