201001220001120 has 384 divisors, whose sum is σ = 797202333268992. Its totient is φ = 41352956928000.

The previous prime is 201001220001079. The next prime is 201001220001143. The reversal of 201001220001120 is 21100022100102.

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

It is a junction number, because it is equal to n+sod(n) for n = 201001220001096 and 201001220001105.

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, 23189539 + ... + 30655458.

It is an arithmetic number, because the mean of its divisors is an integer number (2076047742888).

Almost surely, 2^{201001220001120} is an apocalyptic number.

201001220001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001220001120 is an abundant number, since it is smaller than the sum of its proper divisors (596201113267872).

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

201001220001120 is a wasteful number, since it uses less digits than its factorization.

201001220001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53845134 (or 53845126 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201001220001120 its reverse (21100022100102), we get a palindrome (222101242101222).

The spelling of 201001220001120 in words is "two hundred one trillion, one billion, two hundred twenty million, one thousand, one hundred twenty".