101011000122101 has 16 divisors (see below), whose sum is σ = 106611745751040. Its totient is φ = 95438723914800.

The previous prime is 101011000122091. The next prime is 101011000122103. The reversal of 101011000122101 is 101221000110101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101011000122101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011000122103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116458376 + ... + 117322526.

It is an arithmetic number, because the mean of its divisors is an integer number (6663234109440).

Almost surely, 2^{101011000122101} is an apocalyptic number.

It is an amenable number.

101011000122101 is a deficient number, since it is larger than the sum of its proper divisors (5600745628939).

101011000122101 is a wasteful number, since it uses less digits than its factorization.

101011000122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880616.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101011000122101 its reverse (101221000110101), we get a palindrome (202232000232202).

The spelling of 101011000122101 in words is "one hundred one trillion, eleven billion, one hundred twenty-two thousand, one hundred one".