1020212003100 has 144 divisors (see below), whose sum is σ = 2969569935360. Its totient is φ = 270422227200.

The previous prime is 1020212003089. The next prime is 1020212003101. The reversal of 1020212003100 is 13002120201.

It is a super-2 number, since 2×1020212003100² (a number of 25 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (1020212003101) 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, 82448514 + ... + 82460886.

It is an arithmetic number, because the mean of its divisors is an integer number (20622013440).

Almost surely, 2^{1020212003100} is an apocalyptic number.

1020212003100 is a gapful number since it is divisible by the number (10) 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 1020212003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484784967680).

1020212003100 is an abundant number, since it is smaller than the sum of its proper divisors (1949357932260).

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

1020212003100 is a wasteful number, since it uses less digits than its factorization.

1020212003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14020 (or 14013 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1020212003100 its reverse (13002120201), we get a palindrome (1033214123301).

The spelling of 1020212003100 in words is "one trillion, twenty billion, two hundred twelve million, three thousand, one hundred".