102120002211110 has 64 divisors (see below), whose sum is σ = 204789657300480. Its totient is φ = 36404240517120.

The previous prime is 102120002211091. The next prime is 102120002211121. The reversal of 102120002211110 is 11112200021201.

It is a super-4 number, since 4×102120002211110⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99738734 + ... + 100757406.

It is an arithmetic number, because the mean of its divisors is an integer number (3199838395320).

Almost surely, 2^{102120002211110} is an apocalyptic number.

102120002211110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102120002211110 is an abundant number, since it is smaller than the sum of its proper divisors (102669655089370).

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

102120002211110 is a wasteful number, since it uses less digits than its factorization.

102120002211110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045313.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102120002211110 its reverse (11112200021201), we get a palindrome (113232202232311).

The spelling of 102120002211110 in words is "one hundred two trillion, one hundred twenty billion, two million, two hundred eleven thousand, one hundred ten".