102210000110010 has 160 divisors (see below), whose sum is σ = 296361154050192. Its totient is φ = 25126321720320.

The previous prime is 102210000109979. The next prime is 102210000110011. The reversal of 102210000110010 is 10011000012201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2055160217889 + 100154839892121 = 1433583^2 + 10007739^2 .

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 = 102210000109974 and 102210000110001.

It is not an unprimeable number, because it can be changed into a prime (102210000110011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1635832 + ... + 14390828.

Almost surely, 2^{102210000110010} is an apocalyptic number.

102210000110010 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 102210000110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148180577025096).

102210000110010 is an abundant number, since it is smaller than the sum of its proper divisors (194151153940182).

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

102210000110010 is a wasteful number, since it uses less digits than its factorization.

102210000110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12755790 (or 12755781 counting only the distinct ones).

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

Adding to 102210000110010 its reverse (10011000012201), we get a palindrome (112221000122211).

The spelling of 102210000110010 in words is "one hundred two trillion, two hundred ten billion, one hundred ten thousand, ten".