10121302223010 has 288 divisors, whose sum is σ = 29721861305136. Its totient is φ = 2386135065600.

The previous prime is 10121302222957. The next prime is 10121302223033. The reversal of 10121302223010 is 1032220312101.

10121302223010 is a `hidden beast` number, since 1 + 0 + 12 + 130 + 222 + 301 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4902101536761 + 5219200686249 = 2214069^2 + 2284557^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 998052540 + ... + 998062680.

Almost surely, 2^{10121302223010} is an apocalyptic number.

10121302223010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121302223010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14860930652568).

10121302223010 is an abundant number, since it is smaller than the sum of its proper divisors (19600559082126).

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

10121302223010 is a wasteful number, since it uses less digits than its factorization.

10121302223010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12690 (or 12676 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10121302223010 its reverse (1032220312101), we get a palindrome (11153522535111).

The spelling of 10121302223010 in words is "ten trillion, one hundred twenty-one billion, three hundred two million, two hundred twenty-three thousand, ten".