100120101102113 has 32 divisors (see below), whose sum is σ = 107208560703744. Its totient is φ = 93168414922752.

The previous prime is 100120101102089. The next prime is 100120101102121. The reversal of 100120101102113 is 311201101021001.

It is not a de Polignac number, because 100120101102113 - 2¹⁰ = 100120101101089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100120101102313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3192895031 + ... + 3192926387.

It is an arithmetic number, because the mean of its divisors is an integer number (3350267521992).

Almost surely, 2^{100120101102113} is an apocalyptic number.

It is an amenable number.

100120101102113 is a deficient number, since it is larger than the sum of its proper divisors (7088459601631).

100120101102113 is a wasteful number, since it uses less digits than its factorization.

100120101102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34841.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 100120101102113 its reverse (311201101021001), we get a palindrome (411321202123114).

The spelling of 100120101102113 in words is "one hundred trillion, one hundred twenty billion, one hundred one million, one hundred two thousand, one hundred thirteen".