10201101210010 has 32 divisors (see below), whose sum is σ = 18997127802000. Its totient is φ = 3939326254080.

The previous prime is 10201101210007. The next prime is 10201101210043. The reversal of 10201101210010 is 1001210110201.

It can be written as a sum of positive squares in 8 ways, for example, as 191869404841 + 10009231805169 = 438029^2 + 3163737^2 .

It is a super-2 number, since 2×10201101210010² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 975420 + ... + 4621000.

Almost surely, 2^{10201101210010} is an apocalyptic number.

10201101210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10201101210010 is a deficient number, since it is larger than the sum of its proper divisors (8796026591990).

10201101210010 is a wasteful number, since it uses less digits than its factorization.

10201101210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3655266.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10201101210010 its reverse (1001210110201), we get a palindrome (11202311320211).

The spelling of 10201101210010 in words is "ten trillion, two hundred one billion, one hundred one million, two hundred ten thousand, ten".