10210211121201 has 128 divisors (see below), whose sum is σ = 17468794699776. Its totient is φ = 5159783946240.

The previous prime is 10210211121199. The next prime is 10210211121241. The reversal of 10210211121201 is 10212111201201.

It is a happy number.

It is not a de Polignac number, because 10210211121201 - 2¹ = 10210211121199 is a prime.

It is a super-2 number, since 2×10210211121201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10210211121241) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1949627155 + ... + 1949632391.

It is an arithmetic number, because the mean of its divisors is an integer number (136474958592).

Almost surely, 2^{10210211121201} is an apocalyptic number.

It is an amenable number.

10210211121201 is a deficient number, since it is larger than the sum of its proper divisors (7258583578575).

10210211121201 is a wasteful number, since it uses less digits than its factorization.

10210211121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7551.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10210211121201 its reverse (10212111201201), we get a palindrome (20422322322402).

The spelling of 10210211121201 in words is "ten trillion, two hundred ten billion, two hundred eleven million, one hundred twenty-one thousand, two hundred one".