101112121210121 has 8 divisors (see below), whose sum is σ = 115861608928320. Its totient is φ = 86438858235408.

The previous prime is 101112121210109. The next prime is 101112121210141. The reversal of 101112121210121 is 121012121211101.

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

It is not a de Polignac number, because 101112121210121 - 2¹⁴ = 101112121193737 is a prime.

It is a super-2 number, since 2×101112121210121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101112121210121.

It is not an unprimeable number, because it can be changed into a prime (101112121210141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19056183026 + ... + 19056188331.

It is an arithmetic number, because the mean of its divisors is an integer number (14482701116040).

Almost surely, 2^{101112121210121} is an apocalyptic number.

It is an amenable number.

101112121210121 is a deficient number, since it is larger than the sum of its proper divisors (14749487718199).

101112121210121 is an equidigital number, since it uses as much as digits as its factorization.

101112121210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38112371743.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 101112121210121 its reverse (121012121211101), we get a palindrome (222124242421222).

The spelling of 101112121210121 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-one million, two hundred ten thousand, one hundred twenty-one".