10301491200 has 1152 divisors, whose sum is σ = 46407029760. Its totient is φ = 1946419200.

The previous prime is 10301491199. The next prime is 10301491237. The reversal of 10301491200 is 219410301.

It is a super-2 number, since 2×10301491200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153753567 + ... + 153753633.

It is an arithmetic number, because the mean of its divisors is an integer number (40283880).

Almost surely, 2^10301491200 is an apocalyptic number.

10301491200 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 10301491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23203514880).

10301491200 is an abundant number, since it is smaller than the sum of its proper divisors (36105538560).

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

10301491200 is a wasteful number, since it uses less digits than its factorization.

10301491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

It can be divided in two parts, 10301 and 491200, that added together give a triangular number (501501 = T₁₀₀₁).

The spelling of 10301491200 in words is "ten billion, three hundred one million, four hundred ninety-one thousand, two hundred".