1020010201182 has 384 divisors, whose sum is σ = 2775472128000. Its totient is φ = 270080987904.

The previous prime is 1020010201181. The next prime is 1020010201183. The reversal of 1020010201182 is 2811020100201.

It is an interprime number because it is at equal distance from previous prime (1020010201181) and next prime (1020010201183).

It is a super-2 number, since 2×1020010201182² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020010201181) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 446002443 + ... + 446004729.

It is an arithmetic number, because the mean of its divisors is an integer number (7227792000).

Almost surely, 2^{1020010201182} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020010201182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387736064000).

1020010201182 is an abundant number, since it is smaller than the sum of its proper divisors (1755461926818).

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

1020010201182 is a wasteful number, since it uses less digits than its factorization.

1020010201182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1020010201182 its reverse (2811020100201), we get a palindrome (3831030301383).

The spelling of 1020010201182 in words is "one trillion, twenty billion, ten million, two hundred one thousand, one hundred eighty-two".