10210200200101 has 16 divisors (see below), whose sum is σ = 11522958912000. Its totient is φ = 8961561044800.

The previous prime is 10210200200071. The next prime is 10210200200143. The reversal of 10210200200101 is 10100200201201.

It is a cyclic number.

It is not a de Polignac number, because 10210200200101 - 2¹⁹ = 10210199675813 is a prime.

It is a super-2 number, since 2×10210200200101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210200200201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7221375 + ... + 8518723.

It is an arithmetic number, because the mean of its divisors is an integer number (720184932000).

Almost surely, 2^{10210200200101} is an apocalyptic number.

10210200200101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10210200200101 is a deficient number, since it is larger than the sum of its proper divisors (1312758711899).

10210200200101 is a wasteful number, since it uses less digits than its factorization.

10210200200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322060.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10210200200101 its reverse (10100200201201), we get a palindrome (20310400401302).

The spelling of 10210200200101 in words is "ten trillion, two hundred ten billion, two hundred million, two hundred thousand, one hundred one".