121022001000 has 432 divisors, whose sum is σ = 433965118860. Its totient is φ = 30415564800.

The previous prime is 121022000999. The next prime is 121022001077. The reversal of 121022001000 is 100220121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 997170084 + 120024830916 = 31578^2 + 346446^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 627056904 + ... + 627057096.

Almost surely, 2^121022001000 is an apocalyptic number.

121022001000 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 121022001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216982559430).

121022001000 is an abundant number, since it is smaller than the sum of its proper divisors (312943117860).

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

121022001000 is a wasteful number, since it uses less digits than its factorization.

121022001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 121022001000 its reverse (100220121), we get a palindrome (121122221121).

It can be divided in two parts, 12102 and 2001000, that added together give a palindrome (2013102).

The spelling of 121022001000 in words is "one hundred twenty-one billion, twenty-two million, one thousand".