1010121321504 has 48 divisors (see below), whose sum is σ = 2651623061472. Its totient is φ = 336700174848.

The previous prime is 1010121321499. The next prime is 1010121321533. The reversal of 1010121321504 is 4051231210101.

1010121321504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6986652 + ... + 7129764.

It is an arithmetic number, because the mean of its divisors is an integer number (55242147114).

Almost surely, 2^{1010121321504} is an apocalyptic number.

It is an amenable number.

1010121321504 is an abundant number, since it is smaller than the sum of its proper divisors (1641501739968).

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

1010121321504 is a wasteful number, since it uses less digits than its factorization.

1010121321504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216649 (or 216641 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 1010121321504 its reverse (4051231210101), we get a palindrome (5061352531605).

The spelling of 1010121321504 in words is "one trillion, ten billion, one hundred twenty-one million, three hundred twenty-one thousand, five hundred four".