102121001000200 has 192 divisors, whose sum is σ = 292607210689920. Its totient is φ = 32277139200000.

The previous prime is 102121001000177. The next prime is 102121001000203. The reversal of 102121001000200 is 2000100121201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102121001000203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10163575 + ... + 17536825.

It is an arithmetic number, because the mean of its divisors is an integer number (1523995889010).

Almost surely, 2^{102121001000200} is an apocalyptic number.

102121001000200 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 102121001000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146303605344960).

102121001000200 is an abundant number, since it is smaller than the sum of its proper divisors (190486209689720).

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

102121001000200 is a wasteful number, since it uses less digits than its factorization.

102121001000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7374048 (or 7374039 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102121001000200 its reverse (2000100121201), we get a palindrome (104121101121401).

The spelling of 102121001000200 in words is "one hundred two trillion, one hundred twenty-one billion, one million, two hundred", and thus it is an aban number.