101112121221121 has 8 divisors (see below), whose sum is σ = 105508706463360. Its totient is φ = 96715569817152.

The previous prime is 101112121221107. The next prime is 101112121221169. The reversal of 101112121221121 is 121122121211101.

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

It is a cyclic number.

It is not a de Polignac number, because 101112121221121 - 2¹⁹ = 101112120696833 is a prime.

It is a super-2 number, since 2×101112121221121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101112121221721) 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, 2256661 + ... + 14398498.

It is an arithmetic number, because the mean of its divisors is an integer number (13188588307920).

Almost surely, 2^{101112121221121} is an apocalyptic number.

It is an amenable number.

101112121221121 is a deficient number, since it is larger than the sum of its proper divisors (4396585242239).

101112121221121 is a wasteful number, since it uses less digits than its factorization.

101112121221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16919135.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 101112121221121 its reverse (121122121211101), we get a palindrome (222234242432222).

The spelling of 101112121221121 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty-one".