101100012120101 has 16 divisors (see below), whose sum is σ = 106573125120000. Its totient is φ = 95642189170416.

The previous prime is 101100012120077. The next prime is 101100012120113. The reversal of 101100012120101 is 101021210001101.

It is a cyclic number.

It is not a de Polignac number, because 101100012120101 - 2²² = 101100007925797 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 (101100012120301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42183170 + ... + 44515388.

It is an arithmetic number, because the mean of its divisors is an integer number (6660820320000).

Almost surely, 2^{101100012120101} is an apocalyptic number.

It is an amenable number.

101100012120101 is a deficient number, since it is larger than the sum of its proper divisors (5473112999899).

101100012120101 is a wasteful number, since it uses less digits than its factorization.

101100012120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335496.

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

Adding to 101100012120101 its reverse (101021210001101), we get a palindrome (202121222121202).

The spelling of 101100012120101 in words is "one hundred one trillion, one hundred billion, twelve million, one hundred twenty thousand, one hundred one".