100105111051101 has 48 divisors (see below), whose sum is σ = 156982364098560. Its totient is φ = 61105266794880.

The previous prime is 100105111051079. The next prime is 100105111051123. The reversal of 100105111051101 is 101150111501001.

100105111051101 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 511 + 1 + 0 + 51 + 101 = 666.

It is an interprime number because it is at equal distance from previous prime (100105111051079) and next prime (100105111051123).

It is not a de Polignac number, because 100105111051101 - 2²³ = 100105102662493 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105111051201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1068580 + ... + 14189858.

It is an arithmetic number, because the mean of its divisors is an integer number (3270465918720).

Almost surely, 2^{100105111051101} is an apocalyptic number.

It is an amenable number.

100105111051101 is a deficient number, since it is larger than the sum of its proper divisors (56877253047459).

100105111051101 is a wasteful number, since it uses less digits than its factorization.

100105111051101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13121826 (or 13121823 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 18.

Adding to 100105111051101 its reverse (101150111501001), we get a palindrome (201255222552102).

The spelling of 100105111051101 in words is "one hundred trillion, one hundred five billion, one hundred eleven million, fifty-one thousand, one hundred one".