10121120112010 has 32 divisors (see below), whose sum is σ = 18359917581312. Its totient is φ = 4016976547200.

The previous prime is 10121120111987. The next prime is 10121120112041. The reversal of 10121120112010 is 1021102112101.

It is a happy number.

It is a super-3 number, since 3×10121120112010³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2580259 + ... + 5186518.

It is an arithmetic number, because the mean of its divisors is an integer number (573747424416).

Almost surely, 2^{10121120112010} is an apocalyptic number.

10121120112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10121120112010 is a deficient number, since it is larger than the sum of its proper divisors (8238797469302).

10121120112010 is a wasteful number, since it uses less digits than its factorization.

10121120112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7767798.

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

Adding to 10121120112010 its reverse (1021102112101), we get a palindrome (11142222224111).

The spelling of 10121120112010 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twelve thousand, ten".