10030221201000 has 2048 divisors, whose sum is σ = 44442058752000. Its totient is φ = 1813860864000.

The previous prime is 10030221200999. The next prime is 10030221201029. The reversal of 10030221201000 is 10212203001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 511 ways as a sum of consecutive naturals, for example, 20939918761 + ... + 20939919239.

It is an arithmetic number, because the mean of its divisors is an integer number (21700224000).

Almost surely, 2^{10030221201000} is an apocalyptic number.

10030221201000 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 10030221201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22221029376000).

10030221201000 is an abundant number, since it is smaller than the sum of its proper divisors (34411837551000).

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

10030221201000 is a wasteful number, since it uses less digits than its factorization.

10030221201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 906 counting only the distinct ones).

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

Adding to 10030221201000 its reverse (10212203001), we get a palindrome (10040433404001).

It can be divided in two parts, 1003022 and 1201000, that added together give a palindrome (2204022).

The spelling of 10030221201000 in words is "ten trillion, thirty billion, two hundred twenty-one million, two hundred one thousand".