121111102101 has 32 divisors (see below), whose sum is σ = 177349810176. Its totient is φ = 72907200000.

The previous prime is 121111102087. The next prime is 121111102159. The reversal of 121111102101 is 101201111121.

It is not a de Polignac number, because 121111102101 - 2¹⁷ = 121110971029 is a prime.

It is a super-2 number, since 2×121111102101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121111102601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3019941 + ... + 3059781.

It is an arithmetic number, because the mean of its divisors is an integer number (5542181568).

Almost surely, 2^121111102101 is an apocalyptic number.

121111102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121111102101 is a deficient number, since it is larger than the sum of its proper divisors (56238708075).

121111102101 is a wasteful number, since it uses less digits than its factorization.

121111102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40473.

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

Adding to 121111102101 its reverse (101201111121), we get a palindrome (222312213222).

The spelling of 121111102101 in words is "one hundred twenty-one billion, one hundred eleven million, one hundred two thousand, one hundred one".