112121001102121 has 16 divisors (see below), whose sum is σ = 123356525784768. Its totient is φ = 101062231502400.

The previous prime is 112121001102091. The next prime is 112121001102127. The reversal of 112121001102121 is 121201100121211.

It is a cyclic number.

It is not a de Polignac number, because 112121001102121 - 2¹³ = 112121001093929 is a prime.

It is a super-2 number, since 2×112121001102121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112121001102095 and 112121001102104.

It is not an unprimeable number, because it can be changed into a prime (112121001102127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73511926 + ... + 75021631.

It is an arithmetic number, because the mean of its divisors is an integer number (7709782861548).

Almost surely, 2^{112121001102121} is an apocalyptic number.

112121001102121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112121001102121 is a deficient number, since it is larger than the sum of its proper divisors (11235524682647).

112121001102121 is a wasteful number, since it uses less digits than its factorization.

112121001102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148534152.

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

Adding to 112121001102121 its reverse (121201100121211), we get a palindrome (233322101223332).

The spelling of 112121001102121 in words is "one hundred twelve trillion, one hundred twenty-one billion, one million, one hundred two thousand, one hundred twenty-one".