200011010101122 has 256 divisors, whose sum is σ = 461145522677760. Its totient is φ = 57291726643200.

The previous prime is 200011010101109. The next prime is 200011010101163. The reversal of 200011010101122 is 221101010110002.

200011010101122 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×200011010101122² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200011010101098 and 200011010101107.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6490266258 + ... + 6490297074.

It is an arithmetic number, because the mean of its divisors is an integer number (1801349697960).

Almost surely, 2^{200011010101122} is an apocalyptic number.

200011010101122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200011010101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230572761338880).

200011010101122 is an abundant number, since it is smaller than the sum of its proper divisors (261134512576638).

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

200011010101122 is a wasteful number, since it uses less digits than its factorization.

200011010101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31457.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 200011010101122 its reverse (221101010110002), we get a palindrome (421112020211124).

The spelling of 200011010101122 in words is "two hundred trillion, eleven billion, ten million, one hundred one thousand, one hundred twenty-two".