10122011221311 has 64 divisors (see below), whose sum is σ = 17743554662400. Its totient is φ = 5632874265600.

The previous prime is 10122011221253. The next prime is 10122011221349. The reversal of 10122011221311 is 11312211022101.

It is a happy number.

10122011221311 is a `hidden beast` number, since 1 + 0 + 1 + 220 + 112 + 21 + 311 = 666.

It is not a de Polignac number, because 10122011221311 - 2⁹ = 10122011220799 is a prime.

It is a super-2 number, since 2×10122011221311² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122011221411) 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, 24241231 + ... + 24655248.

It is an arithmetic number, because the mean of its divisors is an integer number (277243041600).

Almost surely, 2^{10122011221311} is an apocalyptic number.

10122011221311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10122011221311 is a deficient number, since it is larger than the sum of its proper divisors (7621543441089).

10122011221311 is a wasteful number, since it uses less digits than its factorization.

10122011221311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48896557 (or 48896551 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10122011221311 its reverse (11312211022101), we get a palindrome (21434222243412).

The spelling of 10122011221311 in words is "ten trillion, one hundred twenty-two billion, eleven million, two hundred twenty-one thousand, three hundred eleven".