10220212002000 has 2880 divisors, whose sum is σ = 46218398833152. Its totient is φ = 1890459648000.

The previous prime is 10220212001959. The next prime is 10220212002031. The reversal of 10220212002000 is 20021202201.

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 575 ways as a sum of consecutive naturals, for example, 90444353944 + ... + 90444354056.

Almost surely, 2^{10220212002000} is an apocalyptic number.

10220212002000 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 10220212002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23109199416576).

10220212002000 is an abundant number, since it is smaller than the sum of its proper divisors (35998186831152).

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

10220212002000 is a wasteful number, since it uses less digits than its factorization.

10220212002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10220212002000 its reverse (20021202201), we get a palindrome (10240233204201).

The spelling of 10220212002000 in words is "ten trillion, two hundred twenty billion, two hundred twelve million, two thousand".