102201000000 has 784 divisors, whose sum is σ = 390520001280. Its totient is φ = 23328000000.

The previous prime is 102200999983. The next prime is 102201000059. The reversal of 102201000000 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 626999919 + ... + 627000081.

Almost surely, 2^102201000000 is an apocalyptic number.

102201000000 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 102201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195260000640).

102201000000 is an abundant number, since it is smaller than the sum of its proper divisors (288319001280).

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

102201000000 is an equidigital number, since it uses as much as digits as its factorization.

102201000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 203 counting only the distinct ones).

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

Adding to 102201000000 its reverse (102201), we get a palindrome (102201102201).

102201000000 divided by its reverse (102201) gives a 6-th power (1000000 = 10⁶).

It can be divided in two parts, 102 and 201000000, that added together give a palindrome (201000102).

The spelling of 102201000000 in words is "one hundred two billion, two hundred one million", and thus it is an aban number.