10211020210001 has 6 divisors (see below), whose sum is σ = 11056903541190. Its totient is φ = 9425557116768.

The previous prime is 10211020209977. The next prime is 10211020210037. The reversal of 10211020210001 is 10001202011201.

It can be written as a sum of positive squares in 3 ways, for example, as 323674517776 + 9887345692225 = 568924^2 + 3144415^2 .

It is not a de Polignac number, because 10211020210001 - 2³⁸ = 9936142303057 is a prime.

It is a super-2 number, since 2×10211020210001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10211020210301) 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 5 ways as a sum of consecutive naturals, for example, 30210118796 + ... + 30210119133.

It is an arithmetic number, because the mean of its divisors is an integer number (1842817256865).

Almost surely, 2^{10211020210001} is an apocalyptic number.

It is an amenable number.

10211020210001 is a deficient number, since it is larger than the sum of its proper divisors (845883331189).

10211020210001 is an equidigital number, since it uses as much as digits as its factorization.

10211020210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60420237955 (or 60420237942 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10211020210001 its reverse (10001202011201), we get a palindrome (20212222221202).

The spelling of 10211020210001 in words is "ten trillion, two hundred eleven billion, twenty million, two hundred ten thousand, one".