210101220201120 has 48 divisors (see below), whose sum is σ = 661818843635040. Its totient is φ = 56026992053504.

The previous prime is 210101220201113. The next prime is 210101220201121. The reversal of 210101220201120 is 21102022101012.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 210101220201120.

It is not an unprimeable number, because it can be changed into a prime (210101220201121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218855437230 + ... + 218855438189.

It is an arithmetic number, because the mean of its divisors is an integer number (13787892575730).

Almost surely, 2^{210101220201120} is an apocalyptic number.

210101220201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210101220201120 is an abundant number, since it is smaller than the sum of its proper divisors (451717623433920).

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

210101220201120 is a wasteful number, since it uses less digits than its factorization.

210101220201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437710875437 (or 437710875429 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 210101220201120 its reverse (21102022101012), we get a palindrome (231203242302132).

The spelling of 210101220201120 in words is "two hundred ten trillion, one hundred one billion, two hundred twenty million, two hundred one thousand, one hundred twenty".