102201021120 has 448 divisors, whose sum is σ = 367764364800. Its totient is φ = 23827415040.

The previous prime is 102201021101. The next prime is 102201021137. The reversal of 102201021120 is 21120102201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102201021096 and 102201021105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34772611 + ... + 34775549.

It is an arithmetic number, because the mean of its divisors is an integer number (820902600).

Almost surely, 2^102201021120 is an apocalyptic number.

102201021120 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 102201021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183882182400).

102201021120 is an abundant number, since it is smaller than the sum of its proper divisors (265563343680).

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

102201021120 is a wasteful number, since it uses less digits than its factorization.

102201021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102201021120 its reverse (21120102201), we get a palindrome (123321123321).

The spelling of 102201021120 in words is "one hundred two billion, two hundred one million, twenty-one thousand, one hundred twenty".