10211001011121 has 16 divisors (see below), whose sum is σ = 14054230315008. Its totient is φ = 6587564715600.

The previous prime is 10211001011069. The next prime is 10211001011209. The reversal of 10211001011121 is 12111010011201.

10211001011121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10211001011121 - 2¹¹ = 10211001009073 is a prime.

It is a super-2 number, since 2×10211001011121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10211001011097 and 10211001011106.

It is not an unprimeable number, because it can be changed into a prime (10211001011021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2025010 + ... + 4952036.

It is an arithmetic number, because the mean of its divisors is an integer number (878389394688).

Almost surely, 2^{10211001011121} is an apocalyptic number.

It is an amenable number.

10211001011121 is a deficient number, since it is larger than the sum of its proper divisors (3843229303887).

10211001011121 is a wasteful number, since it uses less digits than its factorization.

10211001011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964572.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10211001011121 its reverse (12111010011201), we get a palindrome (22322011022322).

The spelling of 10211001011121 in words is "ten trillion, two hundred eleven billion, one million, eleven thousand, one hundred twenty-one".