100101211012121 has 8 divisors (see below), whose sum is σ = 109202739803904. Its totient is φ = 90999918670320.

The previous prime is 100101211012093. The next prime is 100101211012151. The reversal of 100101211012121 is 121210112101001.

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

It is not a de Polignac number, because 100101211012121 - 2¹⁸ = 100101210749977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101211012096 and 100101211012105.

It is not an unprimeable number, because it can be changed into a prime (100101211012151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58226726 + ... + 59921231.

It is an arithmetic number, because the mean of its divisors is an integer number (13650342475488).

Almost surely, 2^{100101211012121} is an apocalyptic number.

100101211012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101211012121 is a deficient number, since it is larger than the sum of its proper divisors (9101528791783).

100101211012121 is a wasteful number, since it uses less digits than its factorization.

100101211012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118224991.

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

Adding to 100101211012121 its reverse (121210112101001), we get a palindrome (221311323113122).

The spelling of 100101211012121 in words is "one hundred trillion, one hundred one billion, two hundred eleven million, twelve thousand, one hundred twenty-one".