10021211112000 has 448 divisors, whose sum is σ = 36455729626368. Its totient is φ = 2405324800000.

The previous prime is 10021211111927. The next prime is 10021211112089. The reversal of 10021211112000 is 21111212001.

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

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, 26476084 + ... + 26851916.

Almost surely, 2^{10021211112000} is an apocalyptic number.

10021211112000 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 10021211112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18227864813184).

10021211112000 is an abundant number, since it is smaller than the sum of its proper divisors (26434518514368).

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

10021211112000 is a wasteful number, since it uses less digits than its factorization.

10021211112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375975 (or 375955 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10021211112000 its reverse (21111212001), we get a palindrome (10042322324001).

The spelling of 10021211112000 in words is "ten trillion, twenty-one billion, two hundred eleven million, one hundred twelve thousand".