201011122220120 has 256 divisors, whose sum is σ = 463290559804800. Its totient is φ = 78476277841920.

The previous prime is 201011122220101. The next prime is 201011122220137. The reversal of 201011122220120 is 21022221110102.

It is a congruent number.

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, 124004392910 + ... + 124004394530.

Almost surely, 2^{201011122220120} is an apocalyptic number.

201011122220120 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 201011122220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231645279902400).

201011122220120 is an abundant number, since it is smaller than the sum of its proper divisors (262279437584680).

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

201011122220120 is a wasteful number, since it uses less digits than its factorization.

201011122220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 201011122220120 its reverse (21022221110102), we get a palindrome (222033343330222).

The spelling of 201011122220120 in words is "two hundred one trillion, eleven billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twenty".