100112212012101 has 8 divisors (see below), whose sum is σ = 134501903161824. Its totient is φ = 66231997768560.

The previous prime is 100112212012081. The next prime is 100112212012121. The reversal of 100112212012101 is 101210212211001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100112212012081) and next prime (100112212012121).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100112212012101 - 2⁴¹ = 97913188756549 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 (100112212012121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127369226086 + ... + 127369226871.

It is an arithmetic number, because the mean of its divisors is an integer number (16812737895228).

Almost surely, 2^{100112212012101} is an apocalyptic number.

It is an amenable number.

100112212012101 is a deficient number, since it is larger than the sum of its proper divisors (34389691149723).

100112212012101 is a wasteful number, since it uses less digits than its factorization.

100112212012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254738453091.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100112212012101 its reverse (101210212211001), we get a palindrome (201322424223102).

The spelling of 100112212012101 in words is "one hundred trillion, one hundred twelve billion, two hundred twelve million, twelve thousand, one hundred one".