1000120202100 has 54 divisors (see below), whose sum is σ = 3134821214070. Its totient is φ = 266698720320.

The previous prime is 1000120202099. The next prime is 1000120202117. The reversal of 1000120202100 is 12020210001.

It can be written as a sum of positive squares in 3 ways, for example, as 95844729744 + 904275472356 = 309588^2 + 950934^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 555621435 + ... + 555623234.

It is an arithmetic number, because the mean of its divisors is an integer number (58052244705).

Almost surely, 2^{1000120202100} is an apocalyptic number.

1000120202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000120202100 is an abundant number, since it is smaller than the sum of its proper divisors (2134701011970).

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

1000120202100 is a wasteful number, since it uses less digits than its factorization.

1000120202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111244689 (or 1111244679 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000120202100 its reverse (12020210001), we get a palindrome (1012140412101).

The spelling of 1000120202100 in words is "one trillion, one hundred twenty million, two hundred two thousand, one hundred".