1021616117104 has 160 divisors (see below), whose sum is σ = 2388363563520. Its totient is φ = 417594777600.

The previous prime is 1021616117089. The next prime is 1021616117107. The reversal of 1021616117104 is 4017116161201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021616117107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66812692 + ... + 66827980.

It is an arithmetic number, because the mean of its divisors is an integer number (14927272272).

Almost surely, 2^{1021616117104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021616117104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194181781760).

1021616117104 is an abundant number, since it is smaller than the sum of its proper divisors (1366747446416).

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

1021616117104 is a wasteful number, since it uses less digits than its factorization.

1021616117104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16319 (or 16313 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 31.

The spelling of 1021616117104 in words is "one trillion, twenty-one billion, six hundred sixteen million, one hundred seventeen thousand, one hundred four".