10121001010200 has 288 divisors, whose sum is σ = 36360121084560. Its totient is φ = 2513984716800.

The previous prime is 10121001010171. The next prime is 10121001010207. The reversal of 10121001010200 is 201010012101.

It is a happy number.

It is a super-2 number, since 2×10121001010200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121001010207) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1263295 + ... + 4673105.

Almost surely, 2^{10121001010200} is an apocalyptic number.

10121001010200 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 10121001010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18180060542280).

10121001010200 is an abundant number, since it is smaller than the sum of its proper divisors (26239120074360).

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

10121001010200 is a wasteful number, since it uses less digits than its factorization.

10121001010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409947 (or 3409935 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10121001010200 its reverse (201010012101), we get a palindrome (10322011022301).

The spelling of 10121001010200 in words is "ten trillion, one hundred twenty-one billion, one million, ten thousand, two hundred".