121010100220100 has 288 divisors, whose sum is σ = 327143151664896. Its totient is φ = 37829431296000.

The previous prime is 121010100220081. The next prime is 121010100220133. The reversal of 121010100220100 is 1022001010121.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5602049300 + ... + 5602070900.

Almost surely, 2^{121010100220100} is an apocalyptic number.

121010100220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121010100220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163571575832448).

121010100220100 is an abundant number, since it is smaller than the sum of its proper divisors (206133051444796).

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

121010100220100 is a wasteful number, since it uses less digits than its factorization.

121010100220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29135 (or 29128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 121010100220100 its reverse (1022001010121), we get a palindrome (122032101230221).

The spelling of 121010100220100 in words is "one hundred twenty-one trillion, ten billion, one hundred million, two hundred twenty thousand, one hundred".