102201000 has 256 divisors, whose sum is σ = 368409600. Its totient is φ = 23328000.

The previous prime is 102200977. The next prime is 102201007. The reversal of 102201000 is 102201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 102201000.

It is not an unprimeable number, because it can be changed into a prime (102201007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 626919 + ... + 627081.

It is an arithmetic number, because the mean of its divisors is an integer number (1439100).

Almost surely, 2^102201000 is an apocalyptic number.

102201000 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 102201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184204800).

102201000 is an abundant number, since it is smaller than the sum of its proper divisors (266208600).

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

102201000 is a wasteful number, since it uses less digits than its factorization.

102201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 102201000 is about 10109.4510236709. The cubic root of 102201000 is about 467.5395793270.

Adding to 102201000 its reverse (102201), we get a palindrome (102303201).

102201000 divided by its reverse (102201) gives a cube (1000 = 10³).

It can be divided in two parts, 102 and 201000, that added together give a palindrome (201102).

The spelling of 102201000 in words is "one hundred two million, two hundred one thousand".