10211010122011 has 8 divisors (see below), whose sum is σ = 10749421742400. Its totient is φ = 9672697505160.

The previous prime is 10211010121979. The next prime is 10211010122147. The reversal of 10211010122011 is 11022101011201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10211010122011 - 2⁵ = 10211010121979 is a prime.

It is a super-2 number, since 2×10211010122011² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10211010121982 and 10211010122000.

It is not an unprimeable number, because it can be changed into a prime (10211010126011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24539125 + ... + 24951766.

It is an arithmetic number, because the mean of its divisors is an integer number (1343677717800).

Almost surely, 2^{10211010122011} is an apocalyptic number.

10211010122011 is a deficient number, since it is larger than the sum of its proper divisors (538411620389).

10211010122011 is a wasteful number, since it uses less digits than its factorization.

10211010122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49501769.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10211010122011 its reverse (11022101011201), we get a palindrome (21233111133212).

The spelling of 10211010122011 in words is "ten trillion, two hundred eleven billion, ten million, one hundred twenty-two thousand, eleven".