201010022010120 has 128 divisors (see below), whose sum is σ = 603584682912000. Its totient is φ = 53553382579200.

The previous prime is 201010022010113. The next prime is 201010022010151. The reversal of 201010022010120 is 21010220010102.

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 = 201010022010096 and 201010022010105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1497002346 + ... + 1497136614.

It is an arithmetic number, because the mean of its divisors is an integer number (4715505335250).

Almost surely, 2^{201010022010120} is an apocalyptic number.

201010022010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201010022010120 is an abundant number, since it is smaller than the sum of its proper divisors (402574660901880).

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

201010022010120 is a wasteful number, since it uses less digits than its factorization.

201010022010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145663 (or 145659 counting only the distinct ones).

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

Adding to 201010022010120 its reverse (21010220010102), we get a palindrome (222020242020222).

It can be divided in two parts, 20101002 and 2010120, that added together give a palindrome (22111122).

The spelling of 201010022010120 in words is "two hundred one trillion, ten billion, twenty-two million, ten thousand, one hundred twenty".