200010120101000 has 256 divisors, whose sum is σ = 511295384920320. Its totient is φ = 72627886080000.

The previous prime is 200010120100943. The next prime is 200010120101041. The reversal of 200010120101000 is 101021010002.

200010120101000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30027037670 + ... + 30027044330.

It is an arithmetic number, because the mean of its divisors is an integer number (1997247597345).

Almost surely, 2^{200010120101000} is an apocalyptic number.

200010120101000 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 200010120101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255647692460160).

200010120101000 is an abundant number, since it is smaller than the sum of its proper divisors (311285264819320).

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

200010120101000 is a wasteful number, since it uses less digits than its factorization.

200010120101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10153 (or 10139 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 200010120101000 its reverse (101021010002), we get a palindrome (200111141111002).

The spelling of 200010120101000 in words is "two hundred trillion, ten billion, one hundred twenty million, one hundred one thousand".