121122021101000 has 256 divisors, whose sum is σ = 294299807293440. Its totient is φ = 46609248000000.

The previous prime is 121122021100957. The next prime is 121122021101047. The reversal of 121122021101000 is 101120221121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3754424870 + ... + 3754457130.

It is an arithmetic number, because the mean of its divisors is an integer number (1149608622240).

Almost surely, 2^{121122021101000} is an apocalyptic number.

121122021101000 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 121122021101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147149903646720).

121122021101000 is an abundant number, since it is smaller than the sum of its proper divisors (173177786192440).

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

121122021101000 is a wasteful number, since it uses less digits than its factorization.

121122021101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33025 (or 33011 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121122021101000 its reverse (101120221121), we get a palindrome (121223141322121).

The spelling of 121122021101000 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, twenty-one million, one hundred one thousand".