100212100011121 has 8 divisors (see below), whose sum is σ = 117191558817344. Its totient is φ = 83898502334640.

The previous prime is 100212100011017. The next prime is 100212100011143. The reversal of 100212100011121 is 121110001212001.

It is a happy number.

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

It is not a de Polignac number, because 100212100011121 - 2³¹ = 100209952527473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100212100011721) 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, 166465282110 + ... + 166465282711.

It is an arithmetic number, because the mean of its divisors is an integer number (14648944852168).

Almost surely, 2^{100212100011121} is an apocalyptic number.

It is an amenable number.

100212100011121 is a deficient number, since it is larger than the sum of its proper divisors (16979458806223).

100212100011121 is an equidigital number, since it uses as much as digits as its factorization.

100212100011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332930564871.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100212100011121 its reverse (121110001212001), we get a palindrome (221322101223122).

The spelling of 100212100011121 in words is "one hundred trillion, two hundred twelve billion, one hundred million, eleven thousand, one hundred twenty-one".