10100210010 has 96 divisors (see below), whose sum is σ = 26713592640. Its totient is φ = 2442190080.

The previous prime is 10100209969. The next prime is 10100210011. The reversal of 10100210010 is 1001200101.

It is a super-2 number, since 2×10100210010² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10100210011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1481269 + ... + 1488071.

It is an arithmetic number, because the mean of its divisors is an integer number (278266590).

Almost surely, 2^10100210010 is an apocalyptic number.

10100210010 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 10100210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13356796320).

10100210010 is an abundant number, since it is smaller than the sum of its proper divisors (16613382630).

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

10100210010 is a wasteful number, since it uses less digits than its factorization.

10100210010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7244 (or 7233 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10100210010 its reverse (1001200101), we get a palindrome (11101410111).

Subtracting from 10100210010 its reverse (1001200101), we obtain a palindrome (9099009909).

The spelling of 10100210010 in words is "ten billion, one hundred million, two hundred ten thousand, ten".