10121034333345 has 128 divisors (see below), whose sum is σ = 19889549180928. Its totient is φ = 4340971008000.

The previous prime is 10121034333307. The next prime is 10121034333367. The reversal of 10121034333345 is 54333343012101.

It is a happy number.

It is not a de Polignac number, because 10121034333345 - 2¹² = 10121034329249 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 222570 + ... + 4504620.

It is an arithmetic number, because the mean of its divisors is an integer number (155387102976).

Almost surely, 2^{10121034333345} is an apocalyptic number.

10121034333345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10121034333345 is a deficient number, since it is larger than the sum of its proper divisors (9768514847583).

10121034333345 is a wasteful number, since it uses less digits than its factorization.

10121034333345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4282143.

The product of its (nonzero) digits is 38880, while the sum is 33.

Adding to 10121034333345 its reverse (54333343012101), we get a palindrome (64454377345446).

The spelling of 10121034333345 in words is "ten trillion, one hundred twenty-one billion, thirty-four million, three hundred thirty-three thousand, three hundred forty-five".