102101120010 has 96 divisors (see below), whose sum is σ = 272777927760. Its totient is φ = 26477466624.

The previous prime is 102101120003. The next prime is 102101120057. The reversal of 102101120010 is 10021101201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 39093593841 + 63007526169 = 197721^2 + 251013^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 102101119974 and 102101120001.

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 47 ways as a sum of consecutive naturals, for example, 7549014 + ... + 7562526.

Almost surely, 2^102101120010 is an apocalyptic number.

102101120010 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 102101120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136388963880).

102101120010 is an abundant number, since it is smaller than the sum of its proper divisors (170676807750).

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

102101120010 is a wasteful number, since it uses less digits than its factorization.

102101120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15832 (or 15829 counting only the distinct ones).

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

Adding to 102101120010 its reverse (10021101201), we get a palindrome (112122221211).

It can be divided in two parts, 102101 and 120010, that added together give a triangular number (222111 = T₆₆₆).

The spelling of 102101120010 in words is "one hundred two billion, one hundred one million, one hundred twenty thousand, ten".