201010112101120 has 144 divisors (see below), whose sum is σ = 550287871822080. Its totient is φ = 68914910932992.

The previous prime is 201010112101103. The next prime is 201010112101153. The reversal of 201010112101120 is 21101211010102.

It is a happy number.

It is a super-2 number, since 2×201010112101120² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 201010112101120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222860011 + ... + 223760149.

It is an arithmetic number, because the mean of its divisors is an integer number (3821443554320).

Almost surely, 2^{201010112101120} is an apocalyptic number.

201010112101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201010112101120 is an abundant number, since it is smaller than the sum of its proper divisors (349277759720960).

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

201010112101120 is an equidigital number, since it uses as much as digits as its factorization.

201010112101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925090 (or 925076 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 201010112101120 its reverse (21101211010102), we get a palindrome (222111323111222).

The spelling of 201010112101120 in words is "two hundred one trillion, ten billion, one hundred twelve million, one hundred one thousand, one hundred twenty".