10200222012000 has 192 divisors, whose sum is σ = 34319061975744. Its totient is φ = 2646543974400.

The previous prime is 10200222011977. The next prime is 10200222012007. The reversal of 10200222012000 is 21022200201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200222012007) 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, 11042737 + ... + 11930736.

It is an arithmetic number, because the mean of its divisors is an integer number (178745114457).

Almost surely, 2^{10200222012000} is an apocalyptic number.

10200222012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200222012000 is an abundant number, since it is smaller than the sum of its proper divisors (24118839963744).

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

10200222012000 is a wasteful number, since it uses less digits than its factorization.

10200222012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22973538 (or 22973520 counting only the distinct ones).

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

Adding to 10200222012000 its reverse (21022200201), we get a palindrome (10221244212201).

The spelling of 10200222012000 in words is "ten trillion, two hundred billion, two hundred twenty-two million, twelve thousand".