10200212022000 has 2560 divisors, whose sum is σ = 45773086334976. Its totient is φ = 1885814784000.

The previous prime is 10200212021953. The next prime is 10200212022019. The reversal of 10200212022000 is 22021200201.

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 511 ways as a sum of consecutive naturals, for example, 43777733884 + ... + 43777734116.

Almost surely, 2^{10200212022000} is an apocalyptic number.

10200212022000 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 10200212022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22886543167488).

10200212022000 is an abundant number, since it is smaller than the sum of its proper divisors (35572874312976).

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

10200212022000 is a wasteful number, since it uses less digits than its factorization.

10200212022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 508 counting only the distinct ones).

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

Adding to 10200212022000 its reverse (22021200201), we get a palindrome (10222233222201).

The spelling of 10200212022000 in words is "ten trillion, two hundred billion, two hundred twelve million, twenty-two thousand".