101120102112101 has 16 divisors (see below), whose sum is σ = 111072245692800. Its totient is φ = 91631120125248.

The previous prime is 101120102112097. The next prime is 101120102112103. The reversal of 101120102112101 is 101211201021101.

It is not a de Polignac number, because 101120102112101 - 2² = 101120102112097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120102112103) 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 15 ways as a sum of consecutive naturals, for example, 21106595 + ... + 25450511.

It is an arithmetic number, because the mean of its divisors is an integer number (6942015355800).

Almost surely, 2^{101120102112101} is an apocalyptic number.

It is an amenable number.

101120102112101 is a deficient number, since it is larger than the sum of its proper divisors (9952143580699).

101120102112101 is a wasteful number, since it uses less digits than its factorization.

101120102112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4397228.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101120102112101 its reverse (101211201021101), we get a palindrome (202331303133202).

The spelling of 101120102112101 in words is "one hundred one trillion, one hundred twenty billion, one hundred two million, one hundred twelve thousand, one hundred one".