10121121221148 has 48 divisors (see below), whose sum is σ = 29988507324160. Its totient is φ = 2891748920112.

The previous prime is 10121121221017. The next prime is 10121121221149. The reversal of 10121121221148 is 84112212112101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121121221149) 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 15 ways as a sum of consecutive naturals, for example, 6693862486 + ... + 6693863997.

Almost surely, 2^{10121121221148} is an apocalyptic number.

10121121221148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10121121221148 is an abundant number, since it is smaller than the sum of its proper divisors (19867386103012).

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

10121121221148 is a wasteful number, since it uses less digits than its factorization.

10121121221148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13387726503 (or 13387726495 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

Adding to 10121121221148 its reverse (84112212112101), we get a palindrome (94233333333249).

The spelling of 10121121221148 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred forty-eight".