1020212221100 has 72 divisors (see below), whose sum is σ = 2239337152416. Its totient is φ = 403401600000.

The previous prime is 1020212221079. The next prime is 1020212221157. The reversal of 1020212221100 is 11222120201.

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 23 ways as a sum of consecutive naturals, for example, 6293060 + ... + 6453140.

Almost surely, 2^{1020212221100} is an apocalyptic number.

1020212221100 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 1020212221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119668576208).

1020212221100 is an abundant number, since it is smaller than the sum of its proper divisors (1219124931316).

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

1020212221100 is a wasteful number, since it uses less digits than its factorization.

1020212221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160827 (or 160820 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1020212221100 its reverse (11222120201), we get a palindrome (1031434341301).

The spelling of 1020212221100 in words is "one trillion, twenty billion, two hundred twelve million, two hundred twenty-one thousand, one hundred".