102221040130400 has 144 divisors (see below), whose sum is σ = 250457991537600. Its totient is φ = 40739202101760.

The previous prime is 102221040130397. The next prime is 102221040130441. The reversal of 102221040130400 is 4031040122201.

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 23 ways as a sum of consecutive naturals, for example, 2458456811 + ... + 2458498389.

It is an arithmetic number, because the mean of its divisors is an integer number (1739291607900).

Almost surely, 2^{102221040130400} is an apocalyptic number.

102221040130400 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 102221040130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125228995768800).

102221040130400 is an abundant number, since it is smaller than the sum of its proper divisors (148236951407200).

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

102221040130400 is a wasteful number, since it uses less digits than its factorization.

102221040130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52741 (or 52728 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 102221040130400 its reverse (4031040122201), we get a palindrome (106252080252601).

The spelling of 102221040130400 in words is "one hundred two trillion, two hundred twenty-one billion, forty million, one hundred thirty thousand, four hundred".