1020021201012 has 96 divisors (see below), whose sum is σ = 2626126272000. Its totient is φ = 305569936000.

The previous prime is 1020021200981. The next prime is 1020021201037. The reversal of 1020021201012 is 2101021200201.

It is a super-3 number, since 3×1020021201012³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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, 8727739 + ... + 8843837.

It is an arithmetic number, because the mean of its divisors is an integer number (27355482000).

Almost surely, 2^{1020021201012} is an apocalyptic number.

1020021201012 is a gapful number since it is divisible by the number (12) 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 1020021201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313063136000).

1020021201012 is an abundant number, since it is smaller than the sum of its proper divisors (1606105070988).

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

1020021201012 is a wasteful number, since it uses less digits than its factorization.

1020021201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116877 (or 116875 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020021201012 its reverse (2101021200201), we get a palindrome (3121042401213).

It can be divided in two parts, 10200 and 21201012, that added together give a palindrome (21211212).

The spelling of 1020021201012 in words is "one trillion, twenty billion, twenty-one million, two hundred one thousand, twelve".