10012100212000 has 192 divisors, whose sum is σ = 24939144004320. Its totient is φ = 3949811712000.

The previous prime is 10012100211977. The next prime is 10012100212001. The reversal of 10012100212000 is 21200121001.

It can be written as a sum of positive squares in 16 ways, for example, as 878141416464 + 9133958795536 = 937092^2 + 3022244^2 .

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 (10012100212001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141296580 + ... + 141367420.

Almost surely, 2^{10012100212000} is an apocalyptic number.

10012100212000 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 10012100212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12469572002160).

10012100212000 is an abundant number, since it is smaller than the sum of its proper divisors (14927043792320).

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

10012100212000 is an equidigital number, since it uses as much as digits as its factorization.

10012100212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71352 (or 71334 counting only the distinct ones).

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

Adding to 10012100212000 its reverse (21200121001), we get a palindrome (10033300333001).

Subtracting from 10012100212000 its reverse (21200121001), we obtain a palindrome (9990900090999).

The spelling of 10012100212000 in words is "ten trillion, twelve billion, one hundred million, two hundred twelve thousand".