10210200021012 has 192 divisors, whose sum is σ = 26568139014144. Its totient is φ = 3035344435200.

The previous prime is 10210200020953. The next prime is 10210200021023. The reversal of 10210200021012 is 21012000201201.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 417702463 + ... + 417726905.

It is an arithmetic number, because the mean of its divisors is an integer number (138375724032).

Almost surely, 2^{10210200021012} is an apocalyptic number.

10210200021012 is a gapful number since it is divisible by the number (12) 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 10210200021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13284069507072).

10210200021012 is an abundant number, since it is smaller than the sum of its proper divisors (16357938993132).

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

10210200021012 is a wasteful number, since it uses less digits than its factorization.

10210200021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25318 (or 25316 counting only the distinct ones).

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

Adding to 10210200021012 its reverse (21012000201201), we get a palindrome (31222200222213).

The spelling of 10210200021012 in words is "ten trillion, two hundred ten billion, two hundred million, twenty-one thousand, twelve".