10122011011021 has 64 divisors (see below), whose sum is σ = 13647344417280. Its totient is φ = 7276643942400.

The previous prime is 10122011011009. The next prime is 10122011011069. The reversal of 10122011011021 is 12011011022101.

It is a happy number.

It is not a de Polignac number, because 10122011011021 - 2¹¹ = 10122011008973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 10122011010992 and 10122011011010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122011051021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 646064230 + ... + 646079896.

It is an arithmetic number, because the mean of its divisors is an integer number (213239756520).

Almost surely, 2^{10122011011021} is an apocalyptic number.

It is an amenable number.

10122011011021 is a deficient number, since it is larger than the sum of its proper divisors (3525333406259).

10122011011021 is a wasteful number, since it uses less digits than its factorization.

10122011011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30134.

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

Adding to 10122011011021 its reverse (12011011022101), we get a palindrome (22133022033122).

The spelling of 10122011011021 in words is "ten trillion, one hundred twenty-two billion, eleven million, eleven thousand, twenty-one".