10101221302200 has 192 divisors, whose sum is σ = 35793632156160. Its totient is φ = 2308434577920.

The previous prime is 10101221302177. The next prime is 10101221302241. The reversal of 10101221302200 is 220312210101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10101221302200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23402742 + ... + 23830458.

It is an arithmetic number, because the mean of its divisors is an integer number (186425167480).

Almost surely, 2^{10101221302200} is an apocalyptic number.

10101221302200 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 10101221302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17896816078080).

10101221302200 is an abundant number, since it is smaller than the sum of its proper divisors (25692410853960).

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

10101221302200 is a wasteful number, since it uses less digits than its factorization.

10101221302200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433366 (or 433357 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10101221302200 its reverse (220312210101), we get a palindrome (10321533512301).

The spelling of 10101221302200 in words is "ten trillion, one hundred one billion, two hundred twenty-one million, three hundred two thousand, two hundred".