1020101120736 has 192 divisors, whose sum is σ = 2753229346560. Its totient is φ = 330596065280.

The previous prime is 1020101120671. The next prime is 1020101120737. The reversal of 1020101120736 is 6370211010201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020101120737) 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 31 ways as a sum of consecutive naturals, for example, 235206760 + ... + 235211096.

It is an arithmetic number, because the mean of its divisors is an integer number (14339736180).

Almost surely, 2^{1020101120736} is an apocalyptic number.

1020101120736 is a gapful number since it is divisible by the number (16) 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 1020101120736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376614673280).

1020101120736 is an abundant number, since it is smaller than the sum of its proper divisors (1733128225824).

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

1020101120736 is a wasteful number, since it uses less digits than its factorization.

1020101120736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4857 (or 4849 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

Adding to 1020101120736 its reverse (6370211010201), we get a palindrome (7390312130937).

The spelling of 1020101120736 in words is "one trillion, twenty billion, one hundred one million, one hundred twenty thousand, seven hundred thirty-six".