102220901640 has 960 divisors, whose sum is σ = 420467604480. Its totient is φ = 22102502400.

The previous prime is 102220901623. The next prime is 102220901659. The reversal of 102220901640 is 46109022201.

102220901640 is a `hidden beast` number, since 10 + 2 + 2 + 2 + 0 + 9 + 0 + 1 + 640 = 666.

It is a super-2 number, since 2×102220901640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 157991797 + ... + 157992443.

It is an arithmetic number, because the mean of its divisors is an integer number (437987088).

Almost surely, 2^102220901640 is an apocalyptic number.

102220901640 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 102220901640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210233802240).

102220901640 is an abundant number, since it is smaller than the sum of its proper divisors (318246702840).

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

102220901640 is a wasteful number, since it uses less digits than its factorization.

102220901640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 102220901640 its reverse (46109022201), we get a palindrome (148329923841).

The spelling of 102220901640 in words is "one hundred two billion, two hundred twenty million, nine hundred one thousand, six hundred forty".