10302121234100 has 36 divisors (see below), whose sum is σ = 22638585412800. Its totient is φ = 4068685851360.

The previous prime is 10302121234087. The next prime is 10302121234177. The reversal of 10302121234100 is 143212120301.

It is a super-2 number, since 2×10302121234100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 652025090 + ... + 652040889.

It is an arithmetic number, because the mean of its divisors is an integer number (628849594800).

Almost surely, 2^{10302121234100} is an apocalyptic number.

10302121234100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10302121234100 is an abundant number, since it is smaller than the sum of its proper divisors (12336464178700).

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

10302121234100 is a wasteful number, since it uses less digits than its factorization.

10302121234100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304066072 (or 1304066065 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10302121234100 its reverse (143212120301), we get a palindrome (10445333354401).

The spelling of 10302121234100 in words is "ten trillion, three hundred two billion, one hundred twenty-one million, two hundred thirty-four thousand, one hundred".