10102211121090 has 32 divisors (see below), whose sum is σ = 26449425481536. Its totient is φ = 2449020877760.

The previous prime is 10102211121089. The next prime is 10102211121137. The reversal of 10102211121090 is 9012111220101.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15306380157 + ... + 15306380816.

It is an arithmetic number, because the mean of its divisors is an integer number (826544546298).

Almost surely, 2^{10102211121090} is an apocalyptic number.

10102211121090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10102211121090 is an abundant number, since it is smaller than the sum of its proper divisors (16347214360446).

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

10102211121090 is a wasteful number, since it uses less digits than its factorization.

10102211121090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30612760994.

The product of its (nonzero) digits is 72, while the sum is 21.

Adding to 10102211121090 its reverse (9012111220101), we get a palindrome (19114322341191).

The spelling of 10102211121090 in words is "ten trillion, one hundred two billion, two hundred eleven million, one hundred twenty-one thousand, ninety".