102121100221000 has 384 divisors, whose sum is σ = 284480776719360. Its totient is φ = 33609862272000.

The previous prime is 102121100220959. The next prime is 102121100221009. The reversal of 102121100221000 is 122001121201.

It is a super-3 number, since 3×102121100221000³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (102121100221009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1018400865 + ... + 1018501135.

It is an arithmetic number, because the mean of its divisors is an integer number (740835356040).

Almost surely, 2^{102121100221000} is an apocalyptic number.

102121100221000 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 102121100221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142240388359680).

102121100221000 is an abundant number, since it is smaller than the sum of its proper divisors (182359676498360).

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

102121100221000 is a wasteful number, since it uses less digits than its factorization.

102121100221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100530 (or 100487 counting only the distinct ones).

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

Adding to 102121100221000 its reverse (122001121201), we get a palindrome (102243101342201).

The spelling of 102121100221000 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred million, two hundred twenty-one thousand".