101011110200121 has 32 divisors (see below), whose sum is σ = 154681183641600. Its totient is φ = 57988175503680.

The previous prime is 101011110200071. The next prime is 101011110200171. The reversal of 101011110200121 is 121002011110101.

It is an interprime number because it is at equal distance from previous prime (101011110200071) and next prime (101011110200171).

It is not a de Polignac number, because 101011110200121 - 2¹⁵ = 101011110167353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101011110200097 and 101011110200106.

It is not an unprimeable number, because it can be changed into a prime (101011110200171) 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 31 ways as a sum of consecutive naturals, for example, 7775746 + ... + 16201371.

It is an arithmetic number, because the mean of its divisors is an integer number (4833786988800).

Almost surely, 2^{101011110200121} is an apocalyptic number.

101011110200121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101011110200121 is a deficient number, since it is larger than the sum of its proper divisors (53670073441479).

101011110200121 is a wasteful number, since it uses less digits than its factorization.

101011110200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23983869.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101011110200121 its reverse (121002011110101), we get a palindrome (222013121310222).

The spelling of 101011110200121 in words is "one hundred one trillion, eleven billion, one hundred ten million, two hundred thousand, one hundred twenty-one".