10221301342100 has 18 divisors (see below), whose sum is σ = 22180223912574. Its totient is φ = 4088520536800.

The previous prime is 10221301342037. The next prime is 10221301342151. The reversal of 10221301342100 is 124310312201.

It can be written as a sum of positive squares in 3 ways, for example, as 643489543684 + 9577811798416 = 802178^2 + 3094804^2 .

It is a super-2 number, since 2×10221301342100² (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 polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51106506611 + ... + 51106506810.

Almost surely, 2^{10221301342100} is an apocalyptic number.

10221301342100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221301342100 is an abundant number, since it is smaller than the sum of its proper divisors (11958922570474).

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

10221301342100 is a wasteful number, since it uses less digits than its factorization.

10221301342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102213013435 (or 102213013428 counting only the distinct ones).

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

Adding to 10221301342100 its reverse (124310312201), we get a palindrome (10345611654301).

The spelling of 10221301342100 in words is "ten trillion, two hundred twenty-one billion, three hundred one million, three hundred forty-two thousand, one hundred".