1010120020100 has 18 divisors (see below), whose sum is σ = 2191960443834. Its totient is φ = 404048008000.

The previous prime is 1010120020081. The next prime is 1010120020123. The reversal of 1010120020100 is 10200210101.

It can be written as a sum of positive squares in 3 ways, for example, as 167954071684 + 842165948416 = 409822^2 + 917696^2 .

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 5 ways as a sum of consecutive naturals, for example, 5050600001 + ... + 5050600200.

It is an arithmetic number, because the mean of its divisors is an integer number (121775580213).

Almost surely, 2^{1010120020100} is an apocalyptic number.

1010120020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010120020100 is an abundant number, since it is smaller than the sum of its proper divisors (1181840423734).

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

1010120020100 is a wasteful number, since it uses less digits than its factorization.

1010120020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10101200215 (or 10101200208 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1010120020100 its reverse (10200210101), we get a palindrome (1020320230201).

The spelling of 1010120020100 in words is "one trillion, ten billion, one hundred twenty million, twenty thousand, one hundred".