1020120212100 has 288 divisors, whose sum is σ = 3557508304896. Its totient is φ = 222634649600.

The previous prime is 1020120212039. The next prime is 1020120212141. The reversal of 1020120212100 is 12120210201.

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

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 95 ways as a sum of consecutive naturals, for example, 894997 + ... + 1685603.

It is an arithmetic number, because the mean of its divisors is an integer number (12352459392).

Almost surely, 2^{1020120212100} is an apocalyptic number.

1020120212100 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 1020120212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778754152448).

1020120212100 is an abundant number, since it is smaller than the sum of its proper divisors (2537388092796).

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

1020120212100 is a wasteful number, since it uses less digits than its factorization.

1020120212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790675 (or 790668 counting only the distinct ones).

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

Adding to 1020120212100 its reverse (12120210201), we get a palindrome (1032240422301).

The spelling of 1020120212100 in words is "one trillion, twenty billion, one hundred twenty million, two hundred twelve thousand, one hundred".