101111012121 has 8 divisors (see below), whose sum is σ = 154073923264. Its totient is φ = 57777721200.

The previous prime is 101111012099. The next prime is 101111012129. The reversal of 101111012121 is 121210111101.

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

It is not a de Polignac number, because 101111012121 - 2⁵ = 101111012089 is a prime.

It is a super-3 number, since 3×101111012121³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111012097 and 101111012106.

It is not an unprimeable number, because it can be changed into a prime (101111012129) 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, 2407405030 + ... + 2407405071.

It is an arithmetic number, because the mean of its divisors is an integer number (19259240408).

Almost surely, 2^101111012121 is an apocalyptic number.

It is an amenable number.

101111012121 is a deficient number, since it is larger than the sum of its proper divisors (52962911143).

101111012121 is an equidigital number, since it uses as much as digits as its factorization.

101111012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4814810111.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101111012121 its reverse (121210111101), we get a palindrome (222321123222).

The spelling of 101111012121 in words is "one hundred one billion, one hundred eleven million, twelve thousand, one hundred twenty-one".