10201101210 has 96 divisors (see below), whose sum is σ = 26710633872. Its totient is φ = 2701117440.

The previous prime is 10201101203. The next prime is 10201101221. The reversal of 10201101210 is 1210110201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1562699961 + 8638401249 = 39531^2 + 92943^2 .

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 = 10201101192 and 10201101201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9614080 + ... + 9615140.

Almost surely, 2^10201101210 is an apocalyptic number.

10201101210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10201101210 is an abundant number, since it is smaller than the sum of its proper divisors (16509532662).

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

10201101210 is a wasteful number, since it uses less digits than its factorization.

10201101210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1725 counting only the distinct ones).

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

Adding to 10201101210 its reverse (1210110201), we get a palindrome (11411211411).

The spelling of 10201101210 in words is "ten billion, two hundred one million, one hundred one thousand, two hundred ten".