1020115781104 has 160 divisors (see below), whose sum is σ = 2419083740160. Its totient is φ = 407291529216.

The previous prime is 1020115781099. The next prime is 1020115781137. The reversal of 1020115781104 is 4011875110201.

1020115781104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18677067 + ... + 18731605.

It is an arithmetic number, because the mean of its divisors is an integer number (15119273376).

Almost surely, 2^{1020115781104} is an apocalyptic number.

1020115781104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020115781104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209541870080).

1020115781104 is an abundant number, since it is smaller than the sum of its proper divisors (1398967959056).

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

1020115781104 is a wasteful number, since it uses less digits than its factorization.

1020115781104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54767 (or 54761 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 31.

The spelling of 1020115781104 in words is "one trillion, twenty billion, one hundred fifteen million, seven hundred eighty-one thousand, one hundred four".