121102220121012 has 108 divisors (see below), whose sum is σ = 333589843505100. Its totient is φ = 37024882292736.

The previous prime is 121102220121011. The next prime is 121102220121013. The reversal of 121102220121012 is 210121022201121.

121102220121012 is a `hidden beast` number, since 121 + 102 + 220 + 1 + 210 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (121102220121011) and next prime (121102220121013).

It can be written as a sum of positive squares in 6 ways, for example, as 62116686639396 + 58985533481616 = 7881414^2 + 7680204^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121102220121011) 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, 62436637 + ... + 64347012.

Almost surely, 2^{121102220121012} is an apocalyptic number.

121102220121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121102220121012 is an abundant number, since it is smaller than the sum of its proper divisors (212487623384088).

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

121102220121012 is a wasteful number, since it uses less digits than its factorization.

121102220121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126783842 (or 126783824 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121102220121012 its reverse (210121022201121), we get a palindrome (331223242322133).

The spelling of 121102220121012 in words is "one hundred twenty-one trillion, one hundred two billion, two hundred twenty million, one hundred twenty-one thousand, twelve".