102220132221000 has 480 divisors, whose sum is σ = 377112167597880. Its totient is φ = 25824026016000.

The previous prime is 102220132220989. The next prime is 102220132221001. The reversal of 102220132221000 is 122231022201.

102220132221000 is a `hidden beast` number, since 102 + 220 + 1 + 322 + 21 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56656903218084 + 45563229002916 = 7527078^2 + 6750054^2 .

It is a super-4 number, since 4×102220132221000⁴ (a number of 57 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (102220132221001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27493110 + ... + 30988890.

Almost surely, 2^{102220132221000} is an apocalyptic number.

102220132221000 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 102220132221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188556083798940).

102220132221000 is an abundant number, since it is smaller than the sum of its proper divisors (274892035376880).

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

102220132221000 is a wasteful number, since it uses less digits than its factorization.

102220132221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495852 (or 3495810 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102220132221000 its reverse (122231022201), we get a palindrome (102342363243201).

The spelling of 102220132221000 in words is "one hundred two trillion, two hundred twenty billion, one hundred thirty-two million, two hundred twenty-one thousand".