10121200234002 has 512 divisors, whose sum is σ = 28628619264000. Its totient is φ = 2604688462080.

The previous prime is 10121200233929. The next prime is 10121200234037. The reversal of 10121200234002 is 20043200212101.

It is a happy number.

10121200234002 is a `hidden beast` number, since 1 + 0 + 121 + 200 + 2 + 340 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 718471003 + ... + 718485089.

It is an arithmetic number, because the mean of its divisors is an integer number (55915272000).

Almost surely, 2^{10121200234002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121200234002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14314309632000).

10121200234002 is an abundant number, since it is smaller than the sum of its proper divisors (18507419029998).

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

10121200234002 is a wasteful number, since it uses less digits than its factorization.

10121200234002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14283 (or 14277 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10121200234002 its reverse (20043200212101), we get a palindrome (30164400446103).

The spelling of 10121200234002 in words is "ten trillion, one hundred twenty-one billion, two hundred million, two hundred thirty-four thousand, two".