10121330121012 has 108 divisors (see below), whose sum is σ = 29163324121568. Its totient is φ = 3067069698000.

The previous prime is 10121330121011. The next prime is 10121330121013. The reversal of 10121330121012 is 21012103312101.

10121330121012 is a `hidden beast` number, since 1 + 0 + 121 + 330 + 1 + 210 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10121330121011) and next prime (10121330121013).

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121330121011) 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 35 ways as a sum of consecutive naturals, for example, 42910864 + ... + 43146087.

Almost surely, 2^{10121330121012} is an apocalyptic number.

10121330121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10121330121012 is an abundant number, since it is smaller than the sum of its proper divisors (19041994000556).

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

10121330121012 is a wasteful number, since it uses less digits than its factorization.

10121330121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86056992 (or 86056967 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10121330121012 its reverse (21012103312101), we get a palindrome (31133433433113).

The spelling of 10121330121012 in words is "ten trillion, one hundred twenty-one billion, three hundred thirty million, one hundred twenty-one thousand, twelve".