10021002121200 has 480 divisors, whose sum is σ = 38381707984896. Its totient is φ = 2185190599680.

The previous prime is 10021002121199. The next prime is 10021002121201. The reversal of 10021002121200 is 212120012001.

It is an interprime number because it is at equal distance from previous prime (10021002121199) and next prime (10021002121201).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021002121201) 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, 73927887 + ... + 74063313.

Almost surely, 2^{10021002121200} is an apocalyptic number.

10021002121200 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 10021002121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19190853992448).

10021002121200 is an abundant number, since it is smaller than the sum of its proper divisors (28360705863696).

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

10021002121200 is a wasteful number, since it uses less digits than its factorization.

10021002121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135861 (or 135850 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10021002121200 its reverse (212120012001), we get a palindrome (10233122133201).

The spelling of 10021002121200 in words is "ten trillion, twenty-one billion, two million, one hundred twenty-one thousand, two hundred".