200120022102000 has 2560 divisors, whose sum is σ = 942029322264576. Its totient is φ = 35149676544000.

The previous prime is 200120022101977. The next prime is 200120022102043. The reversal of 200120022102000 is 201220021002.

It is a super-2 number, since 2×200120022102000² (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 3777747514 + ... + 3777800486.

Almost surely, 2^{200120022102000} is an apocalyptic number.

200120022102000 is a gapful number since it is divisible by the number (20) 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 200120022102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471014661132288).

200120022102000 is an abundant number, since it is smaller than the sum of its proper divisors (741909300162576).

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

200120022102000 is a wasteful number, since it uses less digits than its factorization.

200120022102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53084 (or 53068 counting only the distinct ones).

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

Adding to 200120022102000 its reverse (201220021002), we get a palindrome (200321242123002).

The spelling of 200120022102000 in words is "two hundred trillion, one hundred twenty billion, twenty-two million, one hundred two thousand".