122101221000 has 384 divisors, whose sum is σ = 430101060480. Its totient is φ = 28797120000.

The previous prime is 122101220987. The next prime is 122101221017. The reversal of 122101221000 is 122101221.

122101221000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 13426455 + ... + 13435545.

It is an arithmetic number, because the mean of its divisors is an integer number (1120054845).

Almost surely, 2^122101221000 is an apocalyptic number.

122101221000 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 122101221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215050530240).

122101221000 is an abundant number, since it is smaller than the sum of its proper divisors (307999839480).

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

122101221000 is a wasteful number, since it uses less digits than its factorization.

122101221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9174 (or 9149 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122101221000 its reverse (122101221), we get a palindrome (122223322221).

122101221000 divided by its reverse (122101221) gives a cube (1000 = 10³).

It can be divided in two parts, 12210 and 1221000, that multiplied together give a square (14908410000 = 122100²).

The spelling of 122101221000 in words is "one hundred twenty-two billion, one hundred one million, two hundred twenty-one thousand".