10120302032100 has 288 divisors, whose sum is σ = 31659694066560. Its totient is φ = 2481228288000.

The previous prime is 10120302032059. The next prime is 10120302032107. The reversal of 10120302032100 is 123020302101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10120302032100.

It is not an unprimeable number, because it can be changed into a prime (10120302032107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1035956016 + ... + 1035965784.

Almost surely, 2^{10120302032100} is an apocalyptic number.

10120302032100 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 10120302032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15829847033280).

10120302032100 is an abundant number, since it is smaller than the sum of its proper divisors (21539392034460).

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

10120302032100 is a wasteful number, since it uses less digits than its factorization.

10120302032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10831 (or 10824 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10120302032100 its reverse (123020302101), we get a palindrome (10243322334201).

The spelling of 10120302032100 in words is "ten trillion, one hundred twenty billion, three hundred two million, thirty-two thousand, one hundred".