10211102121 has 64 divisors (see below), whose sum is σ = 15907848192. Its totient is φ = 5767200000.

The previous prime is 10211102107. The next prime is 10211102177. The reversal of 10211102121 is 12120111201.

It is not a de Polignac number, because 10211102121 - 2⁵ = 10211102089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10211102097 and 10211102106.

It is not an unprimeable number, because it can be changed into a prime (10211102191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3821616 + ... + 3824286.

It is an arithmetic number, because the mean of its divisors is an integer number (248560128).

Almost surely, 2^10211102121 is an apocalyptic number.

10211102121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10211102121 is a deficient number, since it is larger than the sum of its proper divisors (5696746071).

10211102121 is a wasteful number, since it uses less digits than its factorization.

10211102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10211102121 its reverse (12120111201), we get a palindrome (22331213322).

The spelling of 10211102121 in words is "ten billion, two hundred eleven million, one hundred two thousand, one hundred twenty-one".