101102100000121 has 8 divisors (see below), whose sum is σ = 114096413793600. Its totient is φ = 88741655172240.

The previous prime is 101102100000103. The next prime is 101102100000199. The reversal of 101102100000121 is 121000001201101.

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 101102100000121 - 2²⁹ = 101101563129209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101102100000098 and 101102100000107.

It is not an unprimeable number, because it can be changed into a prime (101102100000521) 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, 158467241061 + ... + 158467241698.

It is an arithmetic number, because the mean of its divisors is an integer number (14262051724200).

Almost surely, 2^{101102100000121} is an apocalyptic number.

101102100000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101102100000121 is a deficient number, since it is larger than the sum of its proper divisors (12994313793479).

101102100000121 is a wasteful number, since it uses less digits than its factorization.

101102100000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316934482799.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101102100000121 its reverse (121000001201101), we get a palindrome (222102101201222).

The spelling of 101102100000121 in words is "one hundred one trillion, one hundred two billion, one hundred million, one hundred twenty-one", and thus it is an aban number.