10220112111121 has 8 divisors (see below), whose sum is σ = 11156741395488. Its totient is φ = 9284737524000.

The previous prime is 10220112111107. The next prime is 10220112111161. The reversal of 10220112111121 is 12111121102201.

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 10220112111121 - 2¹³ = 10220112102929 is a prime.

It is a super-3 number, since 3×10220112111121³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10220112111095 and 10220112111104.

It is not an unprimeable number, because it can be changed into a prime (10220112111101) 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, 313657275 + ... + 313689856.

It is an arithmetic number, because the mean of its divisors is an integer number (1394592674436).

Almost surely, 2^{10220112111121} is an apocalyptic number.

10220112111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10220112111121 is a deficient number, since it is larger than the sum of its proper divisors (936629284367).

10220112111121 is a wasteful number, since it uses less digits than its factorization.

10220112111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627348623.

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

Adding to 10220112111121 its reverse (12111121102201), we get a palindrome (22331233213322).

It can be divided in two parts, 102201 and 12111121, that multiplied together give a palindrome (1237768677321).

The spelling of 10220112111121 in words is "ten trillion, two hundred twenty billion, one hundred twelve million, one hundred eleven thousand, one hundred twenty-one".