102110201010 has 96 divisors (see below), whose sum is σ = 269545536000. Its totient is φ = 26814872448.

The previous prime is 102110200967. The next prime is 102110201041. The reversal of 102110201010 is 10102011201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102110200983 and 102110201001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2747331 + ... + 2784249.

It is an arithmetic number, because the mean of its divisors is an integer number (2807766000).

Almost surely, 2^102110201010 is an apocalyptic number.

102110201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102110201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134772768000).

102110201010 is an abundant number, since it is smaller than the sum of its proper divisors (167435334990).

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

102110201010 is a wasteful number, since it uses less digits than its factorization.

102110201010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37400 (or 37397 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102110201010 its reverse (10102011201), we get a palindrome (112212212211).

The spelling of 102110201010 in words is "one hundred two billion, one hundred ten million, two hundred one thousand, ten".