1020213411012 has 144 divisors (see below), whose sum is σ = 2662742339712. Its totient is φ = 329217799680.

The previous prime is 1020213410999. The next prime is 1020213411017. The reversal of 1020213411012 is 2101143120201.

1020213411012 is a `hidden beast` number, since 10 + 20 + 213 + 411 + 0 + 12 = 666.

It is a super-3 number, since 3×1020213411012³ (a number of 37 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1020213411017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54277488 + ... + 54296280.

It is an arithmetic number, because the mean of its divisors is an integer number (18491266248).

Almost surely, 2^{1020213411012} is an apocalyptic number.

1020213411012 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 1020213411012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331371169856).

1020213411012 is an abundant number, since it is smaller than the sum of its proper divisors (1642528928700).

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

1020213411012 is a wasteful number, since it uses less digits than its factorization.

1020213411012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19258 (or 19253 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1020213411012 its reverse (2101143120201), we get a palindrome (3121356531213).

The spelling of 1020213411012 in words is "one trillion, twenty billion, two hundred thirteen million, four hundred eleven thousand, twelve".