101121002110101 has 16 divisors (see below), whose sum is σ = 136069700835200. Its totient is φ = 66793195522368.

The previous prime is 101121002110097. The next prime is 101121002110127. The reversal of 101121002110101 is 101011200121101.

It is not a de Polignac number, because 101121002110101 - 2² = 101121002110097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121002110001) 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, 4027815 + ... + 14780571.

It is an arithmetic number, because the mean of its divisors is an integer number (8504356302200).

Almost surely, 2^{101121002110101} is an apocalyptic number.

It is an amenable number.

101121002110101 is a deficient number, since it is larger than the sum of its proper divisors (34948698725099).

101121002110101 is a wasteful number, since it uses less digits than its factorization.

101121002110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10781628.

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

Adding to 101121002110101 its reverse (101011200121101), we get a palindrome (202132202231202).

The spelling of 101121002110101 in words is "one hundred one trillion, one hundred twenty-one billion, two million, one hundred ten thousand, one hundred one".