121121102012112 has 30 divisors (see below), whose sum is σ = 338970861881522. Its totient is φ = 40373700670656.

The previous prime is 121121102012017. The next prime is 121121102012129. The reversal of 121121102012112 is 211210201121121.

It is a happy number.

121121102012112 is a `hidden beast` number, since 121 + 121 + 10 + 201 + 211 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82479163894416 + 38641938117696 = 9081804^2 + 6216264^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 420559381843 + ... + 420559382130.

Almost surely, 2^{121121102012112} is an apocalyptic number.

121121102012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121121102012112 is an abundant number, since it is smaller than the sum of its proper divisors (217849759869410).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121121102012112 is a wasteful number, since it uses less digits than its factorization.

121121102012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841118763987 (or 841118763978 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121121102012112 its reverse (211210201121121), we get a palindrome (332331303133233).

The spelling of 121121102012112 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, one hundred two million, twelve thousand, one hundred twelve".