102121011122200 has 384 divisors, whose sum is σ = 286078725504000. Its totient is φ = 33866537564160.

The previous prime is 102121011122111. The next prime is 102121011122201. The reversal of 102121011122200 is 2221110121201.

It is a super-2 number, since 2×102121011122200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121011122201) 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, 303661344 + ... + 303997456.

It is an arithmetic number, because the mean of its divisors is an integer number (744996681000).

Almost surely, 2^{102121011122200} is an apocalyptic number.

102121011122200 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 102121011122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143039362752000).

102121011122200 is an abundant number, since it is smaller than the sum of its proper divisors (183957714381800).

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

102121011122200 is a wasteful number, since it uses less digits than its factorization.

102121011122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336296 (or 336273 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102121011122200 its reverse (2221110121201), we get a palindrome (104342121243401).

The spelling of 102121011122200 in words is "one hundred two trillion, one hundred twenty-one billion, eleven million, one hundred twenty-two thousand, two hundred".