10030621504200 has 384 divisors, whose sum is σ = 34348851532800. Its totient is φ = 2401176960000.

The previous prime is 10030621504187. The next prime is 10030621504217. The reversal of 10030621504200 is 240512603001.

It is a super-2 number, since 2×10030621504200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 252621549 + ... + 252661251.

It is an arithmetic number, because the mean of its divisors is an integer number (89450134200).

Almost surely, 2^{10030621504200} is an apocalyptic number.

10030621504200 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 10030621504200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17174425766400).

10030621504200 is an abundant number, since it is smaller than the sum of its proper divisors (24318230028600).

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

10030621504200 is a wasteful number, since it uses less digits than its factorization.

10030621504200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40213 (or 40204 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 10030621504200 in words is "ten trillion, thirty billion, six hundred twenty-one million, five hundred four thousand, two hundred".