10141221200310 has 192 divisors, whose sum is σ = 26887122400320. Its totient is φ = 2651258880000.

The previous prime is 10141221200303. The next prime is 10141221200329. The reversal of 10141221200310 is 1300212214101.

10141221200310 is a `hidden beast` number, since 1 + 0 + 1 + 412 + 21 + 200 + 31 + 0 = 666.

It is a super-2 number, since 2×10141221200310² (a number of 27 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 5449338780 + ... + 5449340640.

It is an arithmetic number, because the mean of its divisors is an integer number (140037095835).

Almost surely, 2^{10141221200310} is an apocalyptic number.

10141221200310 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 10141221200310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13443561200160).

10141221200310 is an abundant number, since it is smaller than the sum of its proper divisors (16745901200010).

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

10141221200310 is a wasteful number, since it uses less digits than its factorization.

10141221200310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4172 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10141221200310 its reverse (1300212214101), we get a palindrome (11441433414411).

The spelling of 10141221200310 in words is "ten trillion, one hundred forty-one billion, two hundred twenty-one million, two hundred thousand, three hundred ten".