121100222001121 has 36 divisors (see below), whose sum is σ = 140286432017088. Its totient is φ = 104261897212000.

The previous prime is 121100222001113. The next prime is 121100222001131.

121100222001121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 121100222001121 - 2³ = 121100222001113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121100222001095 and 121100222001104.

It is not an unprimeable number, because it can be changed into a prime (121100222001131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26256540 + ... + 30522226.

It is an arithmetic number, because the mean of its divisors is an integer number (3896845333808).

Almost surely, 2^{121100222001121} is an apocalyptic number.

121100222001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121100222001121 is a deficient number, since it is larger than the sum of its proper divisors (19186210015967).

121100222001121 is a wasteful number, since it uses less digits than its factorization.

121100222001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4265934 (or 4265822 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

The spelling of 121100222001121 in words is "one hundred twenty-one trillion, one hundred billion, two hundred twenty-two million, one thousand, one hundred twenty-one".