10122112221210 has 120 divisors (see below), whose sum is σ = 29916465299028. Its totient is φ = 2453845363200.

The previous prime is 10122112221209. The next prime is 10122112221241. The reversal of 10122112221210 is 1212221122101.

10122112221210 is a `hidden beast` number, since 1 + 0 + 1 + 221 + 12 + 221 + 210 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9717016887369 + 405095333841 = 3117213^2 + 636471^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 51540151 + ... + 51736170.

Almost surely, 2^{10122112221210} is an apocalyptic number.

10122112221210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10122112221210 is an abundant number, since it is smaller than the sum of its proper divisors (19794353077818).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10122112221210 is a wasteful number, since it uses less digits than its factorization.

10122112221210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103276362 (or 103276342 counting only the distinct ones).

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

Adding to 10122112221210 its reverse (1212221122101), we get a palindrome (11334333343311).

The spelling of 10122112221210 in words is "ten trillion, one hundred twenty-two billion, one hundred twelve million, two hundred twenty-one thousand, two hundred ten".