21121102112110 has 192 divisors, whose sum is σ = 51675640192512. Its totient is φ = 6047993952000.

The previous prime is 21121102112107. The next prime is 21121102112113. The reversal of 21121102112110 is 1121120112112.

It is an interprime number because it is at equal distance from previous prime (21121102112107) and next prime (21121102112113).

It is a super-2 number, since 2×21121102112110² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121102112113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22778665 + ... + 23687755.

It is an arithmetic number, because the mean of its divisors is an integer number (269143959336).

Almost surely, 2^{21121102112110} is an apocalyptic number.

21121102112110 is an abundant number, since it is smaller than the sum of its proper divisors (30554538080402).

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

21121102112110 is a wasteful number, since it uses less digits than its factorization.

21121102112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909351 (or 909340 counting only the distinct ones).

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

Adding to 21121102112110 its reverse (1121120112112), we get a palindrome (22242222224222).

It can be divided in two parts, 21121102 and 112110, that added together give a palindrome (21233212).

The spelling of 21121102112110 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred two million, one hundred twelve thousand, one hundred ten".