1030120202100 has 216 divisors, whose sum is σ = 3280941568800. Its totient is φ = 249354476800.

The previous prime is 1030120202099. The next prime is 1030120202101. The reversal of 1030120202100 is 12020210301.

It is an interprime number because it is at equal distance from previous prime (1030120202099) and next prime (1030120202101).

It is a super-4 number, since 4×1030120202100⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 (1030120202101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24772126 + ... + 24813674.

It is an arithmetic number, because the mean of its divisors is an integer number (15189544300).

Almost surely, 2^{1030120202100} is an apocalyptic number.

1030120202100 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 1030120202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640470784400).

1030120202100 is an abundant number, since it is smaller than the sum of its proper divisors (2250821366700).

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

1030120202100 is a wasteful number, since it uses less digits than its factorization.

1030120202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42271 (or 42253 counting only the distinct ones).

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

Adding to 1030120202100 its reverse (12020210301), we get a palindrome (1042140412401).

The spelling of 1030120202100 in words is "one trillion, thirty billion, one hundred twenty million, two hundred two thousand, one hundred".