10210222112121 has 224 divisors, whose sum is σ = 17400856596480. Its totient is φ = 5953260436992.

The previous prime is 10210222112119. The next prime is 10210222112171. The reversal of 10210222112121 is 12121122201201.

10210222112121 is a `hidden beast` number, since 1 + 0 + 210 + 222 + 112 + 121 = 666.

It is not a de Polignac number, because 10210222112121 - 2¹ = 10210222112119 is a prime.

It is a super-2 number, since 2×10210222112121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10210222112094 and 10210222112103.

It is not an unprimeable number, because it can be changed into a prime (10210222112171) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1862157046 + ... + 1862162528.

It is an arithmetic number, because the mean of its divisors is an integer number (77682395520).

Almost surely, 2^{10210222112121} is an apocalyptic number.

It is an amenable number.

10210222112121 is a deficient number, since it is larger than the sum of its proper divisors (7190634484359).

10210222112121 is a wasteful number, since it uses less digits than its factorization.

10210222112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5727 (or 5712 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10210222112121 its reverse (12121122201201), we get a palindrome (22331344313322).

The spelling of 10210222112121 in words is "ten trillion, two hundred ten billion, two hundred twenty-two million, one hundred twelve thousand, one hundred twenty-one".