121122201100 has 72 divisors (see below), whose sum is σ = 266196240128. Its totient is φ = 47832206400.

The previous prime is 121122201073. The next prime is 121122201119. The reversal of 121122201100 is 1102221121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3391537 + ... + 3427063.

Almost surely, 2^121122201100 is an apocalyptic number.

121122201100 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 121122201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133098120064).

121122201100 is an abundant number, since it is smaller than the sum of its proper divisors (145074039028).

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

121122201100 is a wasteful number, since it uses less digits than its factorization.

121122201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35975 (or 35968 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 121122201100 its reverse (1102221121), we get a palindrome (122224422221).

The spelling of 121122201100 in words is "one hundred twenty-one billion, one hundred twenty-two million, two hundred one thousand, one hundred".